Properties of GA-h-Convex Functions in Connection to the Hermite-Hadamard-Fejer-Type Inequalities

被引：2

作者：

Amer Latif, Muhammad ^{[1
]}

机构：

[1] King Faisal Univ, Dept Basic Sci, Al Hasa 31982, Saudi Arabia

来源：

MATHEMATICS | 2023年 / 11卷 / 14期

关键词：

convex function; GA-convex function; h-convex function; GA-h-convex function; Hermite-Hadamard-Fejer-type inequalities; INTEGRAL-INEQUALITIES; MAPPINGS;

D O I：

10.3390/math11143172

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this study, the Hermite-Hadamard-Fejer inequalities for GA-h-convex are proved, and the results for particular classes of functions are highlighted. In addition, several generalizations of the Hermite-Hadamard inequalities are presented. Some features of functions H and F that are naturally linked to the Hermite-Hadamard-Fejer-type inequalities for GA-h-convex have also been discussed. Finally, we obtain applications of the results related to the p-logarithmic mean and the mean of order p.

引用

页数：16

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