A Stimulus Generalization of Double Integral Inequalities by the way of Fractional Integrals

Muhammad Muddassar,Muhammad Iqbal,Tahira Jabeen,Ghulam Haider

doi:10.54938/ijemdm.2022.01.1.19

Abstract

This study presents some of the latest results annexed to Hermite Hadamard inequality by utilizing double integrals by the way of Riemann-Liouville fractional integrals. Another aim of this article is to generalize some of the recent developments on Hermite Hadamard's type inequalities.

Highlights

The usefulness of inequalities involving convex functions is realized from the very beginning and is widely acknowledged as one of the prime driving forces behind the development of several modern branches of mathematics and has been given considerable attention
It is well known that the Hermite−Hadamard inequality plays an important role in nonlinear analysis
First we will establish the identities with name as lemma 2.1 and lemma 2.6 and further utilizing these two lemmas we laid down some results which estimates the left and right side of Hermite−Hadamard inequality

Summary

Introduction

The usefulness of inequalities involving convex functions is realized from the very beginning and is widely acknowledged as one of the prime driving forces behind the development of several modern branches of mathematics and has been given considerable attention. One of the most famous inequalities for convex functions is Hermite-Hadamard inequality, stated as [8]: a+b

Results

Conclusion