Further Inequalities for Convex Functions

被引：2

作者：

Sababheh, Mohammad ^{[1
]}

Moradi, Hamid Reza ^{[2
]}

Guemues, Ibrahim Halil ^{[3
]}

机构：

[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman, Jordan

[2] Islamic Azad Univ, Dept Math, Mashhad Branch, Mashhad, Razavi Khorasan, Iran

[3] Adiyaman Univ, Fac Arts & Sci, Dept Math, Adiyaman, Turkiye

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 01期

关键词：

Convex function; Jensen-Mercer inequality; Clarkson inequality; HADAMARDS TYPE INEQUALITIES; JENSENS; OPERATORS;

D O I：

10.1007/s40840-022-01438-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main goal of this paper is to present some new properties of convex functions, including Mercer-type, superadditive-type, and Jensen-type inequalities. Applications of these new properties will cover the celebrated Hermite-Hadamard inequality, Clarkson inequality, and the operator Mercer inequality. Comparisons with some existing results will be discussed too.

引用

页数：20

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