Generalized Hermite-Hadamard-Mercer type inequalities via majorization-Reference-Cited by-同舟云学术

Generalized Hermite-Hadamard-Mercer type inequalities via majorization

Published:2022 Issue:2 Volume:36 Page:469-483
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Faisal Shah¹,Khan Muhammad¹,Iqbal Sajid²

Affiliation:

1. Department of Mathematics, University of Peshawar, Peshawar, Pakistan

2. Department of Mathematics, Riphah International University, Faisalabad Campus, Faisalabad, Pakistan

Abstract

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.

Publisher

National Library of Serbia

Subject

General Mathematics

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