Further Inequalities for Convex Functions

被引：0
|
作者：
Mohammad Sababheh
Hamid Reza Moradi
Ibrahim Halil Gümüş
机构：
[1] Princess Sumaya University for Technology,Department of Basic Sciences
[2] Mashhad Branch,Department of Mathematics
[3] Islamic Azad University,Department of Mathematics, Faculty of Arts and Sciences
[4] Adıyaman University,undefined
来源：
Bulletin of the Malaysian Mathematical Sciences Society | 2023年 / 46卷
关键词：
Convex function; Jensen–Mercer inequality; Clarkson inequality; 26A51; 47A60;
D O I：
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学科分类号：
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.
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