Metin Turgay

Metin Turgay
Selcuk University · Department of Mathematics

Master of Science

About

9
Publications
768
Reads
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105
Citations
Additional affiliations
July 2019 - present
Selcuk University
Position
  • Research Assistant
Education
September 2013 - June 2018
Dokuz Eylul University
Field of study
  • Mathematics

Publications

Publications (9)
Article
This paper is devoted to construction of multidimensional Kantorovich modifications of exponential sampling series, which allows to approximate suitable measurable functions by considering their mean values on just one section of the function involved. Approximation behavior of newly con- structed operators is investigated at continuity points for...
Preprint
The present paper deals with construction of newly family of Neural Network operators, that is,Steklov Neural Network operators. By using Steklov type integral, we introduce a new version of Neural Network operators and we obtain some convergence theorems for the family, such as, pointwise and uniform convergence,rate of convergence via moduli of s...
Article
Full-text available
In the present paper, we introduce a new family of sampling operators, so-called “modified sampling operators”, by taking a function ρ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg...
Article
This paper deals with approximation properties of bivariate sampling Durrmeyer operators for functions belonging to weighted spaces of functions. After a short preliminaries and auxilary results we present well-definiteness of (S_w^{ζ,ζ}). Main results of the paper includes pointwise and uniform convergence of the family of operators, rate of conve...
Article
Full-text available
The present article deals with local and global approximation behaviors of sampling Durrmeyer operators for functions belonging to weighted spaces of continuous functions. After giving some fundamental notations of sampling type approximation methods and presenting well definiteness of the operators on weighted spaces of functions, we examine point...
Article
Full-text available
The present paper deals with an extension of approximation properties of generalized sampling series to weighted spaces of functions. A pointwise and uniform convergence theorem for the series is proved for functions belonging to weighted spaces. A rate of convergence by means of weighted moduli of continuity is presented and a quantitative Voronov...
Article
In this paper, we generalize the family of exponential sampling series for functions of n variables and study their pointwise and uniform convergence as well as the rate of convergence for the functions belonging to space of log-uniformly continuous functions. Furthermore, we state and prove the generalized Mellin-Taylor’s expansion of multivariate...

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