Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function

Yasin, Sabir; Misiran, Masnita; Omar, Zurni

doi:10.47974/JIM-1489

Open Access Research Article

Hermite-Hadamard inequality for product of (h1, h2, s)-convex and m-harmonically convex function

^*Sabir YasinCorresponding authorsabiryasin77@gmail.comDepartment of Mathematics and StatisticsSchool of Quantitative SciencesUniversiti Utara, MalaysiaKedah, MalaysiaView full profile → , Masnita MisiranAffiliation 1Department of Mathematics and StatisticsSchool of Quantitative SciencesUniversiti Utara, MalaysiaKedah, MalaysiaAffiliation 2Centre for TestingMeasurement and Appraisal, UUM SintokUniversiti Utara MalaysiaKedah, 06010, MalaysiaView full profile → , Zurni OmarDepartment of Mathematics and StatisticsSchool of Quantitative SciencesUniversiti Utara, MalaysiaKedah, MalaysiaView full profile →

* Corresponding author · click or hover a name for details

pp. 675–689Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1489XML

Received:: 01 Jul 2021
Accepted:: 01 Jan 2022
Published Online:: 19 Aug 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1489
Pages:: 675–689

Abstract

In this paper, a new definition of (m, h1, h2, s)-Harmonically convex function is introduced by combining m-convex, (h1, h2)-convex, s-convex, and harmonically convex function. Nowadays the approach of combining different convex functions is being used to extend the mathematical inequalities. In this paper, H-H inequality is considered to extend the fact that the combination of two or more convex functions combines their properties also. This innovative approach of combining convex functions leads to new applications in a variety of domains, including mathematics as well as other fields. These given inequalities can be considered as refinements and improvements to previously established results.

Keywords

Hermite-Hadamard (H-H)Inequality Convex Function

Subject Classifications

26A5126A3326D1026D0726D2026E60

References

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