Properties of Coordinated (h1, h2)-Convex Functions of Two Variables Related to the Hermite-Hadamard-Fejer Type Inequalities

被引：1

作者：

Latif, Muhammad Amer ^{[1
]}

机构：

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

来源：

MATHEMATICS | 2023年 / 11卷 / 05期

关键词：

coordinated convex function; coordinated; (h(1); h(2))-convex function; Hermite-Hadamard-Fejer type inequalities; CONVEX-FUNCTIONS; H(1))-(P(2); RECTANGLE; (P(1);

D O I：

10.3390/math11051201

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove the Hermite-Hadamard-Fejer type inequalities for coordinated h(1),h(2)-convex functions on the rectangle from the plane R-2. Some generalizations of the Hermite-Hadamard-type inequalities of two variables are also obtained as a consequence. Some properties of two functionals which are connected with the coordinated h(1),h(2)-convex functions are provided as well. Finally, we give applications of the acquired results to special means of positive real numbers.

引用

页数：23

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