New developments in fractional integral inequalities via convexity with applications-Reference-Cited by-同舟云学术

New developments in fractional integral inequalities via convexity with applications

Published:2023 Issue:7 Volume:8 Page:15950-15968
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Karim Maimoona¹,Fahmi Aliya¹,Qaisar Shahid²,Ullah Zafar³,Qayyum Ather⁴

Affiliation:

1. Department of Mathematics, University of Faisalabad, Pakistan

2. Department of Mathematics, COMSATS University Islamabad Sahiwal Campus, Pakistan

3. Department of Mathematics, University of Education, DGK Campus, Pakistan

4. Department of Mathematics, Institute of Southern Punjab Multan, Pakistan

Abstract

<abstract><p>The main objective of this article is to build up a new integral equality related to Riemann Liouville fractional (RLF) operator. Based on this integral equality, we show numerous new inequalities for differentiable convex as well as concave functions which are similar to celebrated Hermite-Hadamard and Simpson's integral inequalities. The present outcomes of this paper are a unification and generalization of the comparable results in the literature on Hermite-Hadamard and Simpson's integral inequalities. Furthermore as applications in numerical analysis, we find some means, q-digamma function and modified Bessel function type inequalities.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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