Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications-Reference-Cited by-同舟云学术

Some Generalized Fractional Integral Inequalities via Harmonic Convex Functions and Their Applications

Published:2022-06-22 Issue: Volume:2022 Page:1-27
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Awan Muhammad Uzair¹^ORCID,Akhtar Nousheen¹,Raïssouli Mustapha²,Kashuri Artion³^ORCID,Javed Muhammad Zakria¹^ORCID,Noor Muhammad Aslam⁴^ORCID

Affiliation:

1. Department of Mathematics, Government College University, Faisalabad, Pakistan

2. Department of Mathematics, Science Faculty, Moulay Ismail University, Meknes, Morocco

3. Department of Mathematics, Faculty of Technical Science, University “Ismail Qemali”, Vlora 9400, Albania

4. Department of Mathematics, COMSATS University Islamabad, Islamabad, Pakistan

Abstract

The aim of this paper is to derive from an auxiliary identity some new generalizations of fractional integral inequalities of Simpson, midpoint, and trapezoid using the class of harmonic convex functions. To show that our results are quite unifying, we discuss several new special cases. Finally, some applications regarding error estimations for the Simpson quadrature formula are presented to support our theoretical results.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2022/4173915.pdf

Reference22 articles.

1. Theory and Applications of Fractional Differential Equations;A. A. Kilbas,2006

2. Hermite–Hadamard’s inequalities for fractional integrals and related fractional inequalities

3. Simpson type integral inequalities for generalized fractional integral

4. On generalized fractional integral inequalities for twice differentiable convex functions

5. Hermite–Hadamard type inequalities for harmonically convex functions via fractional integrals

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