Xin Sui's research while affiliated with Beijing University of Posts and Telecommunications and other places

Publications (4)

Article
Full-text available
In the paper, we establish the Hermite-Hadamard type inequalities for the generalized s-convex functions in the second sense on real linear fractal set $\mathbb{R}^{\alpha}(0<\alpha<1).$
Article
Full-text available
In the paper, we introduce two kinds of generalized s-convex functions on fractal sets. And similar to the class situation, we also study the properties of these two kinds of generalized s-convex functions and discuss the relationship between them. Based on these properties, we get some applications on fractal sapce.
Article
Full-text available
We introduce the generalized convex function on fractal sets Rα (0<α≤1) of real line numbers and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen's inequality and generalized Hermite-Hadamard's inequality. Furthermore, some applications are given.
Article
In the paper, we introduce the generalized convex function on fractal sets and study the properties of the generalized convex function. Based on these properties, we establish the generalized Jensen's inequality and generalized Hermite-Hadamard's inequality on fractal sets. Furthermore, some applications are given .

Citations

... Various extensions of this notion have been reported in the literature in recent years, see [1,4,6,12,13,14,16,17,22,26]. Mo et al. in [20], introduced the following generalized convex function. ...
... Furthermore, the H-H-type inequalities for the generalized s-convex function in the second sense on fractal sets were proposed by Mo and Sui [100]: Theorem 32. Suppose that G : R + → R α is a generalized s-convex function in the second sense for 0 < s < 1 and m 1 , m 2 ∈ [0, ∞) with m 1 < m 2 . ...
... Definition 1.5 [26] Let R + = [0, +∞). The mapping H : R + → R ν is named as generalized s-convex, s ∈ (0, 1] in the first sense, if the coming inequality ...
... Many researchers contemplated the properties of a function on the fractal space and built numerous sorts of fractional calculus by utilizing distinctive approaches, see [25,26]. Mo et al. [27] defined the generalized convex function on fractal sets R (0 < ≤ 1) of real numbers and established generalized Jensen's and Hermite-Hadamard's inequalities for a generalized convex function in the concept of local fractional calculus. In (2017) Sun [28] introduced the concept of harmonic convex function on fractal sets R (0 < ≤ 1) of real numbers and gave some Hermite-Hadamard inequalities for a generalized harmonic function ( ∈ GHK (I)). ...