Some integral inequalities via new family of preinvex functions

Year 2022, , 117 - 126, 30.06.2022

Muhammad Tariq Soubhagya Kumar Sahoo Hijaz Ahmad Asif Ali Shaikh Bibhakar Kodamasingh Dawood Khan

https://doi.org/10.53391/mmnsa.2022.010

Cited By: 1

Abstract

The main objective of this work is to introduce and define the concept of s-type m-preinvex function and derive the new sort of Hermite-Hadamard inequality via the newly discussed idea. Furthermore, to enhance the quality of paper, we prove two new lemmas and in order to these lemmas, we attain some extensions of Hermite-Hadamard-type inequality in the manner of newly explored definition. The concepts and tools of this paper may invigorate and revitalize for additional research in this mesmerizing and absorbing field of mathematics.

Keywords

Preinvex function, s-type preinvexity, s-type m-preinvexity, Hermite-Hadamard inequality

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