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.
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页数：16
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