Hermite–Hadamard type inequalities for m-convex and (α,m)\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}-convex functions

被引：0
作者：
Serap Özcan
机构：
[1] Kırklareli University,Department of Mathematics, Faculty of Sciences and Arts
来源：
Journal of Inequalities and Applications | / 2020卷 / 1期
关键词：
-convex function; -convex function; Hermite–Hadamard type inequalities; Integral inequalities; 26D15; 26A51;
D O I：
10.1186/s13660-020-02442-5
中图分类号：
学科分类号：
摘要：
In this paper, some new inequalities of the Hermite–Hadamard type for the classes of functions whose derivatives’ absolute values are m-convex and (α,m)\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}-convex are obtained. The results obtained in this work extend and improve the corresponding ones in the literature. Some applications to special means of real numbers are also given.
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