Generalized Hermite-Hadamard-Mercer Type Inequalities via Majorization

被引：19
|
作者：
Faisal, Shah [1 ]
Khan, Muhammad Adil [1 ]
Iqbal, Sajid [2 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] Riphah Int Univ, Dept Math, Faisalabad Campus,Satyana Rd, Faisalabad, Pakistan
来源：
FILOMAT | 2022年 / 36卷 / 02期
关键词：
Jensen-Mercer inequality; Hermite-Hadamard inequality; majorization; DIFFERENTIABLE MAPPINGS; CONVEX-FUNCTIONS; REFINEMENT;
D O I：
10.2298/FIL2202469F
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Hermite-Hadamard inequality has been recognized as the most pivotal inequality which has grabbed the attention of several mathematicians. In recent years, load of results have been established for this inequality. The main theme of this article is to present generalized Hermite-Hadamard inequality via the Jensen-Mercer inequality and majorization concept. We establish a Hermite-Hadamard inequality of the Jensen-Mercer type for majorized tuples. With the aid of weighted generalized Mercer's inequality, we also prove a weighted generalized Hermite-Hadamard inequality for certain tuples. The idea of obtaining the results of this paper, may explore a new way for derivation of several other results for Hermite-Hadamard inequality.
引用
收藏
页码：469 / 483
页数：15
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