Mohammad Mursaleen

Aligarh Muslim University | AMU · Department of Mathematics

First, we define a new class of fractional differential equations of order n − 1 < ϑ ≤ n, (n ≥ 2). Also, we define a new Banach double sequence space m 2 (∆ u v , φ, p) and a Hausdorff MNC on it. By using this MNC, we prove the existence of solution of infinite system of a new class of fractional differential equations of order ϑ ∈ (n − 1, n], (n ≥...

The primary aim of this article is to present a series of positive linear operators utilizing degenerate Hermite polynomials. We explore the approximation properties for functions within diverse spaces and evaluate the order of approximation for these operators. The asymptotic behavior of the operators is scrutinized, and we establish the quantitat...

The penta-hybrid nanofluid is a nanofluid that contains five different types of nanoparticles. It can achieve higher heat transfer rates than conventional hybrid nanofluids due to the synergistic effects of the nanoparticles. It also has more diverse physical and thermal properties, which make it more adaptable for various applications. Therefore,...

Fungal Induced Calcium Carbonate Precipitation (FICP) is a novel method used in geotechnical engineering that enhances the engineering properties of sand by using the potential of fungal activity. This research is the first attempt to monitor the strength of FICP treated sand using embedded Piezoelectric (PZT) patch based Electromechanical Impedanc...

Recently, some new sequence spaces ℓp(Aα)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\ell _{p}(\mathfrak{A}^{\alpha })$\end{document}(0<p<∞)\documentclass[12pt]{mini...

The objective of this study is to determine the criteria under which the infinite system of integral equations in three variables has a solution in the Banach tempering sequence space c 0 β {c}_{0}^{\beta } and ℓ 1 β {\ell }_{1}^{\beta } , utilizing the Meir-Keeler condensing operators. Our research builds upon the findings of Malik and Jalal. Furt...

n this paper, we introduce and study lacunary A-statistical convergence of complex uncertain sequences via Orlicz functions. We investigate some aspects of uncertainty such as mean, measure, almost surely, uniformly almost surely and distribution. Additionally, we make an effort to provide illustrative examples that elucidate the interrelations wit...

The aim of this edited book is to focus on recent developments and achievements of statistical convergence of several sequence spaces. We extend several convergence theories of various non-absolute integrals and their applications.

A healthy environment improves the quality of life on Earth, while natural disasters affect the quality of the environment. An area’s Landslide Hazard Zonation (LHZ) provides key information about the susceptibility to natural or manmade disasters. Using the Weighted Overlay Technique, this research aims to develop the landslide susceptibility and...

In this study, we prove the existence and uniqueness of a solution to a g-Caputo fractional differential equation with new boundary value conditions utilizing the combined Wardowski–Mizoguchi–Takahashi contractions via reduction of this equation to a fractional integral equation. We provide an example to demonstrate our findings.

Expansive soils pose significant challenges in civil engineering due to their susceptibility to volumetric changes, leading to structural instability and damage in infrastructure. This study evaluates the performance and microstructural characteristics of industrial solid waste materials (Class F-fly ash and ground granulated blast-furnace slag) as...

Fungus Mycelium mediated Calcite Precipitation (FMCP) is a novel bio-inspired method for enhancing the mechanical and microstructural properties of sand. This study investigates the potential of Aspergillus Niger fungus mycelium to induce calcite precipitation in sand, thereby improving its unconfined compressive strength (UCS) and permeability. Th...

In this paper, we first introduce and study the notion of statistical Riemann-Stieltjes sum for the sequence of functions and establish some elementary results based on this notion. Subsequently, we extend this notion to the probability space and demonstrate some new results for sequence of distribution functions. Furthermore, we suggest the deferr...

The primary objective of this research article is to introduce and study an approximation operator involving the Tricomi function by using Korovkin's theorem and a conventional method based on the modulus of continuity. In Lipschitz-type spaces, we demonstrate the rate of convergence, and we are also able to determine the convergence properties of...

Let \({\mathbb D}\) be the open unit disk in the complex plane. We characterize the boundedness and compactness of the sum of weighted differentiation composition operators where \(n\in {\mathbb N}_0\), \(\psi _j\), \(j\in \overline{0,n}\), are holomorphic functions on \({\mathbb D}\), and \(\varphi \), a holomorphic self-maps of \({\mathbb D}\), a...

This research presents an experimental investigation on the thermal management and improvement of electrical efficiency of photovoltaic (PV) systems employing a phase change material (PCM) and water combination technique as heat dissipation systems through an improved design. This experiment was conducted in the semi-arid environment of Aligarh, In...

In this study we develop a q-Fibonacci matrix \(\mathcal {F}(q)=(f^q_{nv})_{n,v\in \mathbb {N}_0}\) given by where \(\left( f_v(q)\right)\) represents a sequence of q-Fibonacci numbers. By utilizing the matrix \(\mathcal {F}(q)\), we define matrix domains \(\ell _p (\mathcal {F}(q)):=(\ell _p)_{\mathcal {F}(q)}\) \((0<p< \infty )\) and \(\ell _\inf...

The purpose this study is to present and investigate the q q -Beta-Baskakov-Szasz-Stancu operator. The operators are accompanied by Voronovskaja-type consequences, which include both an exact approximation order and a quantitative assessment, specifically within compact disks.

In this paper, we establish a novel category of sequence spaces $\ell _{p}^{q_{\lambda}}$ ℓ p q λ and $\ell _{\infty}^{q_{\lambda}}$ ℓ ∞ q λ by utlizing q -analogue $\Lambda^{q}$ Λ q of Λ-matrix. Our investigation outlines several topological characteristics and inclusion results of these newly introduced sequence spaces, specifically identifying t...

In this paper, we intend to prove that the modulus $\mathcal{A}-$lacunary statistical convergence of fractional difference double sequences and modulus lacunary fractional matrix of four-dimensions taken over the space of modulus $\mathcal{A}-$lacunary fractional difference uniformly integrable real sequences are equivalent. We represent another ve...

Various types of unconnected optimization problems in infinite space are explored. In particular, many papers have been published on the best approximation and the best proximity point. The purpose of this chapter is to start a new path to solve constrained optimization problems in the infinite space of the best approximation and the best proximity...

In this paper, we study some properties of the parametric generalization of the Baskakov–Schurer–Szász operators using a power series summability method. We prove some results in the weighted spaces of continuous functions and the Voronovskaya type theorem. Further, we prove some results related to the statistical convergence of the parametric gene...

First, we introduce the concept of triple sequence space c3(▵)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$c^3(\triangle )$$\end{document} and we define a Hausdorff...

In this article, we study the existence of solutions for an infinite system of implicit fractional integral equations of two variables in tempered sequence spaces \(c_{0}^{\alpha }\) and \(\ell _{p}^{\alpha }\) \((p\ge 1)\). To achieve our main objective, we establish a new fixed point theorem using the measure of noncompactness and a new contracti...

First, we introduce the concept of triple sequence space c 3 () and we define a Haus-dorff measure of noncompactness (MNC) on this space. Furthermore, by using this MNC we study the existence of solutions of infinite systems of Caputo-Hadamard fractional differential equations with three point integral boundary conditions in the triple sequence spa...

First, we introduce the concept of triple sequence space c 3 () and we define a Haus-dorff measure of noncompactness (MNC) on this space. Furthermore, by using this MNC we study the existence of solutions of infinite systems of Caputo-Hadamard fractional differential equations with three point integral boundary conditions in the triple sequence spa...

Consider a complex plane \({\mathbb {C}}\) and open unit disk \({\mathbb {D}}= \{z\in {\mathbb {C}}:|z|<1\}\). Let \(\phi _{1}\), \(\phi _{2}\) be two holomorphic functions on \({\mathbb {D}}\), and let \(\xi\) be a holomorphic self-map of \({\mathbb {D}}\). For \(n\in {\mathbb {N}}_{0}\), where \({\mathbb {N}}_{0}=\{0,1,2,\dots \}\), a new product...

In this study, we establish a new class of Kantorovich-Stancu type (α, λ, s)-Bernstein operators via an adaptation of B ́ezier bases which are formulated with the inclusion of the shape parameters λ ∈ [−1, 1], α ∈ [0, 1], and a positive parameter s. First, we present a uniform convergence result for these operators and, subsequently, examine the c...

In this research paper, we undertake an investigation into Cesàro \(\mathfrak {q}\)-difference sequence spaces \(\mathfrak {X}(\mathfrak {C}_1^{\delta ;\mathfrak {q}})\), where \(\mathfrak {X} \in \{\ell _{\infty },c,c_0\}.\) These spaces are generated using the matrix \(\mathfrak {C}_1^{\delta ,\mathfrak {q}}\), which is a product of the Cesàro ma...

Define an infinite matrix D α = ( d n , v α ) \mathfrak{D}^{\alpha}=(d^{\alpha}_{n,v}) by d n , v α = { v α σ ( α ) ⁢ ( n ) , v ∣ n , 0 , v ∤ n , d^{\alpha}_{n,v}=\begin{cases}\dfrac{v^{\alpha}}{\sigma^{(\alpha)}(n)},&v\mid n,\\ 0,&v\nmid n,\end{cases} where σ ( α ) ⁢ ( n ) \sigma^{(\alpha)}(n) is defined to be the sum of the 𝛼-th power of the posi...

This article explores a Chlodowsky-type extension of Szász operators using the general-Appell polynomials. The convergence properties of these operators are established by employing the universal Korovkin-type property, and the order of approximation is determined using the classical modulus of continuity. Additionally, the weighted B\documentclass...

In this paper, we study q-statistical convergence for double sequences. The definitions of q-analog of statistical Cauchy and statistical pre-Cauchy for double sequences are given. The necessary and sufficient condition for a double sequence to have different statistical limits is also obtained. We show that a q-statistical convergent sequence is q...

In this paper, we characterize bounded and compact weighted composition operators acting from spaces generated by fractional Cauchy kernels of the unit ball to Hardy spaces of the unit ball. We explicitly obtain the norm of such operators acting between these spaces and characterize the equicontinuity of a family of weighted composition operators a...

We study the solvability of following infinite systems of fractional boundary value problem \begin{footnotesize}\begin{equation*}\begin{cases}^cD^{\rho}u_i(t)=f_i(t,u_i(t))),\ \rho\in(n-1,n),\ 0<t<+\infty,\ &\quad \\u_i(0)=0,\ u_i^q(0)=0,\ ^cD^{\rho-1}u_i(\infty)=\displaystyle\sum_{j=1}^{m-2}\beta_j u_i(\xi_j). &\quad \end{cases}\end{equation*}\end...

We study the solvability of following infinite systems of fractional boundary value problem \begin{footnotesize}\begin{equation*}\begin{cases}^cD^{\rho}u_i(t)=f_i(t,u_i(t))),\ \rho\in(n-1,n),\ 0<t<+\infty,\ &\quad \\u_i(0)=0,\ u_i^q(0)=0,\ ^cD^{\rho-1}u_i(\infty)=\displaystyle\sum_{j=1}^{m-2}\beta_j u_i(\xi_j). &\quad \end{cases}\end{equation*}\end...

In this article, some Stancu-type operators, their products and boolean sum operators are constructed on a triangular domain with curved sides. Their interpolation features have been described. Also remainders of approximation formulas have been discussed. Graphical representations have been given to demonstrate the theoretical findings.

In this paper, we construct Beta-type generalization of the complex q-Baskakov-Schurer-Szász-Stancu operators in compact disks. We put forth modified Beta operator as a robust method for approximating functions on compact disks. The operator's versatility comes from its capacity to manage complex variables and adjust to various weight functions, ma...

We introduce blended variant of Kantorovich-Stancu type Lupa? operators and study convergence and q-statistical convergence properties using Korovkin theorem. We investigate rate of convergence interms of modulus of continuity, Peetre?s K-functional and Lipschitz functions. Some Direct results and Voronovskaja type theorem are established. Moreover...

In this article, maximal commutators and commutators of maximal function through bounded mean oscillation functions in Lp (?) space examined. New point estimates for these operators have been proven.

Motivated by the work of [Mohammadi et al., Mathematics, 2019, 7, 575.], we extend here Darbo’s fixed point theorem in a Banach space using the combined technique of Wardowski-Mizoguchi-Takahashi contraction. The existence of solution for a system of integral equations is provided and an example to support the effectiveness of our results is also g...

We introduce the concept of weighted sequence space \(bv_p^\omega \) and we construct a Hausdorff measure of noncompactness (MNC) in this space. Then, by applying this MNC we study the existence of solutions of infinite systems of third-order three-point nonhomogeneous boundary value problem in \(bv_p^{\omega }\). Finally, we present two examples t...

Free share download link: https://authors.elsevier.com/a/1iDndytxOTNb7 Abstract: The goal of this study is to determine the scope of the impact of pile driving construction vibration on surrounding residential houses and buildings during engineering construction. Firstly, introducing the gradient factor of unsaturated soil, proposed a model for no...

In this paper, we have construct a new version of the Bézier‐type Baskakov–Schurer–Szász–Stancu operators. For this new class of operators, uniform convergence is shown in any compact subset or positive real line. We prove Korovkin‐type theorem, Voronovskaya‐type theorem, and Grüss–Voronovskaya‐type theorem. Moreover, at the end, we express the beh...

From transportation to energy production, environmental protection, and medical advancements, vortices are known to influence everything. Therefore, a remarkable aspect of engineering and scientific research in these areas is the prediction, control, and optimization of such vortices. Motivated by these potential applications, we numerically study...

The aim of this article is to construct a ( p , q ) {(p,q)} -analogue of wavelets Kantorovich–Baskakov operators and investigate some statistical approximation properties. We study weighted statistical approximation by means of a Bohman–Korovkin-type theorem, and statistical rate of convergence by means of the weighted modulus of smoothness ω ρ α {...

In this brief note, we present a fixed point theorem in the Fréchet space. Also we study a new family of measures of noncompactness on C ∞ (R +) and C n (R +) and we investigate the construction of compact-integral operators on C ∞ (R +) and C n (R +). Finally, we provide various examples which illustrate the existence of solutions for a wide varie...

In this paper, we generalize and extend the Baskakov-Kantorovich operators by constructing the $(p, q)$ ( p , q ) -Baskakov Kantorovich operators $$ \begin{aligned} (\Upsilon _{n,b,p,q} h) (x) = [ n ]_{p,q} \sum_{b=0}^{ \infty}q^{b-1} \upsilon _{b,n}^{p,q}(x) \int _{\mathbb{R}}h(y)\Psi \biggl( [ n ] _{p,q} \frac{q^{b-1}}{p^{n-1}}y - [ b ] _{p,q} \b...

In this paper, we construct the Bézier variant of the operators constructed by Nasiruzzaman et al. (Iran J Sci Technol Trans A Sci 46(5):1495–1503, 2022). We use the notion of wavelets to construct Bézier type Kantorovich q-Baskakov wavelet operators. We calculate the moments and central moments and prove some approximation results for our new oper...

In this article, an infinite system of three point boundary value problem of p-Laplacian operator is considered for the existence of solution in a new sequence space related to the tempered sequence space ℓpα,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepa...

We study new BK-spaces \(X^{p,q}_c\) and \(X^{p,q}_0\) as the domain of (p, q)-Cesàro matrix \(C^{p, q}\) in the spaces c and \(c_0\), respectively. We study certain topological properties and inclusion relations, and obtain Schauder basis and Alpha-, Beta- and Gamma-duals of the spaces \(X^{p,q}_c\) and \(X^{p,q}_0\). Further, we determine necessa...

In this paper, we obtain Tauberian conditions under which ordinaryconvergence of the sequence $(x_n)$ in $2-$ normed space $X$ follows from $%D_{n}^{r}-$ summability method, for every integer $r\geq 2.$ In fact we givenecessary and sufficient Tauberian condition for this method of summability.Also, we prove that Tauberian Theorems under these summa...

Deep convolutional neural networks (CNNs) have shown tremendous success in the detection of objects and vehicles in recent years. However, when using CNNs to identify real-time vehicle detection in a moving context remains difficult. Many obscured and truncated cars, as well as huge vehicle scale fluctuations in traffic photos, provide these issues...

In this paper, we construct the Chlodowsky-type Szász operators defined via Boas–Buck-type polynomials. We prove some approximation properties and obtain the rate of the convergence for these operators. We also study the Voronovskaya-type theorem and weighted approximation.

Soil stabilization is a practical approach for enhancing the suitability of problematic soil in construction projects. This study focusses on analyzing the impact of the bio-enzyme Terrazyme on the engineering properties of Mirpur soil, which exhibits inadequate performance as subgrade soil, particularly in moist conditions. The study investigates...

In this paper, we introduce the notion of weak Wardowski contractive multivalued mappings and investigate the solvability of generalized '-Caputo snap boundary fractional differential inclusions. Our results utilize some existing results regarding snap boundary fractional differential inclusions. An example is given to illustrate the applicability...

In this article, we establish a new tempered sequence space related to tempered sequence \(\ell _{p}^{\alpha },\) \(p\ge 1\) and obtain the Hausdorff measure of noncompactness of this space. By using this measure of noncompactness with Darbo’s fixed point theorem, we investigate the existence results for an infinite system of Langevin fractional di...

The main concern of this article is to obtain several approximation features of the new Chlodowsky type q-Bernstein-Schurer operators. We prove the Korovkin type approximation theorem and discuss the order of convergence with regard to the ordinary modulus of continuity, an element of Lipschitz type and Peetre's K-functional, respectively. In addit...

In this paper we have proved that generalized Stancu operators are able to preserve properties of the function of the modulus of continuity and Lipschitz condition of a given Lipschitz continuous function f. In the last section, we prove some results for these operators, in case where f is a convex function and it’s converse theorem.

In this work, we consider several approximation properties of a Durrmeyer variant of q-Bernstein operators based on Bézier basis with the shape parameter λ ∈ [-1, 1]. First, we calculate some moment estimates and show the uniform convergence of the proposed operators. Next, we investigate the degree of approximation with regard to the usual modulus...

The purpose of the paper is to introduce new analogues of Lupaş type Bernstein operators on a triangle with one curve side, their products and Boolean sums. We study these univariate operators and their interpolation properties. Based on Peano’s theorem and using modulus of continuity, the remainders of the approximation formula of corresponding op...

The aim of this article is to construct univariate Bernstein-type operators ( ℬ m x G ) ( x , z ) \left({{\mathcal{ {\mathcal B} }}}_{m}^{x}G)\left(x,z) and ( ℬ n z G ) ( x , z ) , \left({{\mathcal{ {\mathcal B} }}}_{n}^{z}G)\left(x,z), their products ( P m n G ) ( x , z ) \left({{\mathcal{P}}}_{mn}G)\left(x,z) , ( Q n m G ) ( x , z ) \left({{\math...

The sugar industry produces a huge quantity of sugar cane bagasse ash in India. Dumping massive quantities of waste in a non-eco-friendly manner is a key concern for developing nations. The main focus of this study is the development of a sustainable geomaterial composite with higher strength capabilities (compressive and flexural). To develop this...

The principal goal of this work is to solvability of the mild solution for the second-order hyperbolic PDE with initial/boundary-value problem with nonlocal condition of the form \begin{equation*}\label{eq1221} \begin{cases} \rho_{\tau\tau}+J\rho=f\big(\tau,\rho,\rho_\tau\big)&\text {in}\ P\times[0,J]\\ \rho=0&\text{on}\ \partial P\times[0,J] \\ \r...

In this article, some new generalizations of Darbo’s fixed-point theorem are given and the solvability of an infinite system of weighted fractional integral equations of a function with respect to another function is studied. Also, with the help of a proper example, we illustrate our findings.

In this article, we first introduce and study the basic concepts of deferred Euler and deferred Nörlund product summability means of Fourier series of arbitrary periodic functions. We then estimate the degree of approximation of Fourier series of an arbitrary periodic function in the generalized Zygmund class based upon our proposed product deferre...

LetD = {z ∈ C : |z| < 1} be the open unit disk in the complex plane C. By H(D), denote the space of all holomorphic functions on D. For an analytic self map φ on D and u, v ∈ H(D), we have a product type operator Tu,v,φ defined by Tu,v,φ f (z) = u(z) f (φ(z)) + v(z) f ′(φ(z)), f ∈ H(D), z ∈ D, This operator is basically a combination of three other...

In this article, we concentrate on the Sz?sz-Jakimovski-Leviatan operators imposed by Appell polynomials using q-calculus. We analyze the classical Sz?sz-Jakimovski-Leviatan-Kantorovich and derive the approximation results connected to the non-negative parameters ? ? [ 1 2 ,?) in q-analogue. In order to combining with the earlier investigation by u...

Bernstein-Stancu operators are one of the most powerful tool that can be used in approximation theory. In this manuscript, we propose a new construction of Bernstein-Stancu operators which preserve the constant and e?2x, x > 0. In this direction, the approximation properties of this newly defined operators have been examined in the sense of differe...

The main objective of this paper is to define a sequence of positive linear operators by means of the squared Sz?sz-Mirakjan basis functions. We estimate the rate of convergence in terms of the modulus of continuity and the class of Lipschitz functions. Furthermore, we have shown the comparison and convergence of these operators with the help of so...

In this study, we examine the existence of solution for some ?-Caputo fractional differential inclusions with arbitrary coefficients with boundary values using Wardowski-Mizoguchi-Takahashi multivalued contractions. Our results utilize some existence results regarding ?-Caputo fractional differential inclusions, in particular the results of Belmor...

In this article, we establish a generalized version of Darbo?s fixed point theorem via some newly defined condensing operators and we define a new fractional integral using (P,Q)-calculus and study its properties. Finally, we apply this generalized Darbo?s fixed point theorem to check the existence of a solution of (P,Q)- functional integral equati...

We introduce Kantorovich variant of Stancu-Lupas? operators and study convergence and qstatistical convergence properties using Korovkin theorem. Rate of convergence is analyzed in terms of modulus of continuity, elements of Lipschitz class and Peetre?s K-functional. Direct theorems are proved and Voronovskaja type theorem is established. Graphical...

In this paper, Lupaş Bernstein-Kantorovich operators have been studied using Jackson and Riemann type (p, q)-integrals. It has been shown that (p, q)-integrals as well as Riemann type (p, q)-integrals are not well defined for 0 < q < p < 1 and thus further analysis is needed. Throughout the paper, the case 1 ≤ q < p < ∞ has been used. Advantages of...

Development of concrete using alternative materials has become very important in the quest to achieve sustainable development in the built environment. However, it is critical to continually modify concrete mixtures to correct deficiencies of fresh and long-term properties. In this study, natural rubber latex and bamboo fiber were added as constitu...

In the present paper, we construct the Szász–Jakimovski–Leviatan type operators by using sequence of nonnegative continuous functions \(\chi _n(z)\) on \([0,\infty )\) and estimate the central moments. We study the approximation properties of our new constructed operators involving the Appell polynomial by use of modulus of continuity, Lipschitz fu...

In this paper, we characterize Carleson measure and vanishing Carleson measure on Bergman spaces with admissible weights in terms of t-Berezin transform and averaging function as a key tool. Moreover, we characterize power compact weighted composition operators as an application of vanishing Carleson measure on Bergman spaces with admissible weight...

In this article, Phillips-type Bernstein operators ( ℬ m , q t F ) ( t , s ) ({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and ( ℬ n , q s F ) ( t , s ) ({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s) , their products, and Boolean sum based on q -integer have been studied on a triangle with all curved sides. Furthermore, convergence of it...

The present work focuses on the statistical Euler summability, Euler statistical convergence, and Euler summability of sequences of fuzzy real numbers via the generalized fractional difference operator. We make an effort to establish some relations between different sorts of Euler convergence. Further, we discuss the fuzzy continuity and demonstrat...

In the present article, we introduced almost [Formula: see text]-statistical convergence of complex uncertain sequences in all five aspects of uncertainty viz., almost surely, mean, measure, distribution and uniformly almost surely. Further, with the aid of interesting examples and diagram we investigated some interrelationships among these uncerta...

In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted fractional difference sequence spaces of modulus functions. We consider the matrix operators acting between and and identify their bounds and vice-versa. We also investigate the same characteristics for N\"{o}rlund and wei...

In this article, we found an undesirable feature in the theory of summability; that is, the Fourier series of 2π$$ 2\pi $$‐periodic functions is uniformly convergent to the functions via the Ceàsro mean. However, it does not preserve the uniform convergence for the arbitrary periodic functions. To overcome this limitation, the objective of the pape...

In this work, we first introduce the concept of double sequence space \(2^c(\triangle )\). Then, we construct a Hausdorff measure of noncompactness on this space. Furthermore, by employing this measure of noncompactness we discuss the existence of solutions for infinite systems of third-order three-point boundary value problem in the double sequenc...

The growth of photovoltaic (PV) in developing countries remains a major challenge due to a lack of clarity on the performance of the grid-connected PV system. This paper illustrates some of the key features of the operating performance of the 81.9 kWp PV system installed on the roof of academic buildings. Real-time data was monitored over 12 months...