Publication:
Some new jensen-mercer type integral inequalities via fractional operators

No Thumbnail Available

Date

2023-06-01

Journal Title

Journal ISSN

Volume Title

Publisher

Mdpi

Research Projects

Organizational Units

Journal Issue

Abstract

In this study, we present new variants of the Hermite-Hadamard inequality via non-conformable fractional integrals. These inequalities are proven for convex functions and differentiable functions whose derivatives in absolute value are generally convex. Our main results are established using the classical Jensen-Mercer inequality and its variants for (h,m)-convex modified functions proven in this paper. In addition to showing that our results support previously known results from the literature, we provide examples of their application.

Description

Keywords

Refinements, Convex functions, (h, m)-convex functions, Jensen-mercer inequality, Hermite-hadamard inequality, Hlder inequality, power mean inequality, Non-conformable fractional operators, Science & technology, Physical sciences, Mathematics, applied, Mathematics

Citation

Collections


Metrikler

Search on Google Scholar


Total Views

0

Total Downloads

0