k-fractional integral trapezium-like inequalities through ( h , m ) $(h,m)$ -convex and ( α , m ) $(\alpha,m)$ -convex mappings

Hermite-Hadamard and Simpson-Like Type Inequalities for Differentiable (α, m)-Convex Mappings

NEW GENERAL INTEGRAL INEQUALITIES FOR (α,m)-GA-CONVEX FUNCTIONS VIA HADAMARD FRACTIONAL INTEGRALS

In this paper, the authors give a new identity for Hadamard fractional integrals. By using of this identity, the authors obtain new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for (α,m)-GA-convex functions via Hadamard fractional integrals.

HERMITE HADAMARD TYPE INEQUALITIES FOR m-CONVEX AND (α,m)-CONVEX FUNCTIONS FOR FUZZY INTEGRALS

In this paper Hermite—Hadamard type inequalities for m-convex and (α,m)-convex functions for fuzzy integrals are given. Some examples are also given to illustrate the results.

M-FUZZIFYING TOPOLOGICAL CONVEX SPACES

The main purpose of this paper is to introduce the compatibility of $M$-fuzzifying topologies and $M$-fuzzifying convexities, define an $M$-fuzzifying topological convex space, and give a method to generate an $M$-fuzzifying topological convex space. Some characterizations of $M$-fuzzifying topological convex spaces are presented. Finally, the notion of $M$-fuzzifying weak topologies is obtaine...

k-fractional integral trapezium-like inequalities through \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(h,m)$\end{document}(h,m)-convex and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$(\alpha,m)$\end{document}(α,m)-convex mappings

namedHermite-Hadamard’s inequality, is one of themost famous results for convexmappings. This inequality (1.1) is also known as trapezium inequality. The trapezium-type inequality has remained an area of great interest due to its wide applications in the field of mathematical analysis. Many researchers generalized and extended it via mappings of different classes. For recent results, for exampl...