Hermite-Hadamard's Integral Inequalities of (a, s)-GA- and (a, s, m)-GA-Convex Functions

被引：1

作者：

Wang, Jing-Yu ^{[1
]}

Yin, Hong-Ping ^{[1
]}

Sun, Wen-Long ^{[2
]}

Guo, Bai-Ni ^{[3
]}

机构：

[1] Inner Mongolia Minzu Univ, Coll Math & Phys, Tongliao 028043, Peoples R China

[2] Shenyang Univ Technol, Sch Sci, Dept Math, Shenyang 110870, Peoples R China

[3] Henan Polytech Univ, Sch Math & Informat, Jiaozuo 454003, Peoples R China

来源：

AXIOMS | 2022年 / 11卷 / 11期

关键词：

Hermite-Hadamard type integral inequality; (alpha; s)-geometric-arithmetically convex function; s; m)-geometric-arithmetically convex function; DIFFERENTIABLE MAPPINGS; CONVEXITY;

D O I：

10.3390/axioms11110616

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the authors propose the notions of (alpha,s)-geometric-arithmetically convex functions and (alpha,s,m)-geometric-arithmetically convex functions, while they establish some new integral inequalities of the Hermite-Hadamard type for (alpha,s)-geometric-arithmetically convex functions and for (alpha,s,m)-geometric-arithmetically convex functions.

引用

页数：12

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