SOME NEW INEQUALITIES FOR (A-A) AND (G-A) m-CONVEX FUNCTIONS WITH APPLICATIONS

被引：0

作者：

Lahwate, Mohamed Rassan ^{[1
]}

Ighachane, Mohamed Amine ^{[1
]}

El Moutawakil, Driss ^{[1
]}

机构：

[1] Chouaib Doukkali Univ, Higher Sch Educ & Training Jadida, Sci & Technol Team ESTE, El Jadida, Morocco

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2025年 / 19卷 / 02期

关键词：

(A-A) m-convex functions; (G-A) m-convex functions; Jensen's inequality; Hermite-Hadamard inequality;

D O I：

10.7153/jmi-2025-19-34

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce several new inequalities for (A-A) and (G-A) m-convex functions. Additionally, we examine multi-term refinements of the classical Jensen-type inequality for these classes of functions. Our results are further extended by applying the weak sub-majorization theory. As an application, we derive new refinements of the classical Hermite-Hadamard inequality for m-convex functions. Our findings extend and generalize recent publications in this field, including [5,6, 8, 9, 16].

引用

页码：539 / 560

页数：22

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