NEW INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR OPERATOR m-CONVEX AND (alpha, m)-CONVEX FUNCTIONS

Wang Shuhong

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NEW INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR OPERATOR m-CONVEX AND (alpha, m)-CONVEX FUNCTIONS

机译：Hermite-Hadamard类型的新积分不等式，用于操作员M-CONVEX和（Alpha，M） - 耦合功能

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摘要

In this paper, authors introduce the concepts of operator m-convex function and operator (alpha, m)-convex function, and establish some new integral inequalities of Hermite-Hadamard type for operator m-convex and (alpha, m)-convex functions.

机译：在本文中，作者介绍了操作员M-Convex功能和操作员（Alpha，M） - 耦合功能的概念，并为操作员M-Convex和（Alpha，M） - 耦合功能建立Hermite-Hadamard类型的一些新的整体不等式。

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来源
《Journal of computational analysis and applications》 |2017年第4期|共10页
作者
Wang Shuhong;
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作者单位

Inner Mongolia Univ Nationalities Coll Math Tongliao 028043 Peoples R China;

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原文格式 PDF
正文语种 eng
中图分类应用数学;
关键词
Integral inequality; operator m-convex function; operator (alpha; m)-convex function;

机译：积分不等式;操作员M-CONVEX功能;运算符（alpha;m） - 透露函数;

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1. NEW INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR OPERATOR m-CONVEX AND (alpha, m)-CONVEX FUNCTIONS [J] . Wang Shuhong Journal of computational analysis and applications . 2017,第4期

机译：Hermite-Hadamard类型的新积分不等式，用于操作员M-CONVEX和（Alpha，M） - 耦合功能
2. SOME NEW HERMITE-HADAMARD TYPE INEQUALITIES FOR OPERATOR m-CONVEX AND (α, m)-CONVEX FUNCTIONS ON THE CO-ORDINATES [J] . SHU-HONG WANG, SHAN-HE WU Journal of computational analysis and applications . 2018,第3期

机译：一些新的Hermite-Hadamard类型用于操作员M-CONVEX的不等式和（α，M） - 耦合函数在坐标上的功能
3. Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators [J] . Erhan Set, Abdurrahman G?zpinar Topological Algebra and its Applications . 2017,第1期

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4. Some New Hermite-Hadamard Type Inequalities for Quasi-Convex Functions via Fractional Integral Operator [C] . Erhan Set, Bari? ?elik, Ahmet Ocak Akdemir International Conference on Advances in Natural and Applied Sciences . 2017

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6. General fractional integral inequalities for convex and m-convex functions via an extended generalized Mittag-Leffler function [O] . G. Farid, K. A. Khan, N. Latif, -1

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7. Hermite-Hadamard type inequalities for B-1-convex functions involving generalized fractional integral operators [O] . Ilknur Yesilce, Gabil Adilov 2018

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NEW INTEGRAL INEQUALITIES OF HERMITE-HADAMARD TYPE FOR OPERATOR m-CONVEX AND (alpha, m)-CONVEX FUNCTIONS

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