Some New Fractional Weighted Simpson Type Inequalities for Functions Whose First Derivatives Are Convex-Reference-Cited by-同舟云学术

Some New Fractional Weighted Simpson Type Inequalities for Functions Whose First Derivatives Are Convex

Published:2023-09-25 Issue: Volume:2023 Page:1-19
ISSN:1563-5147
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Meftah Badreddine¹^ORCID,Boulares Hamid¹^ORCID,Shafqat Ramsha²^ORCID,Ben Makhlouf A.³^ORCID,Benaicha Ramzi⁴^ORCID

Affiliation:

1. Laboratory of Analysis and Control of Differential Equations “ACED”, Faculty MISM, Department of Mathematics, 8 May 1945 University of Guelma, Guelma 24000, Algeria

2. Department of Mathematics and Statistics, University of Lahore, Sargodha 40100, Pakistan

3. Department of Mathematics, Faculty of Sciences, Sfax University, BP 1171, Sfax, Tunisia

4. University of Badji Mokhtar Annaba, B.P. No 12 RP, 23000, Annaba, Algeria

Abstract

The goal of this paper is to establish some weighted Simpson type inequalities for functions whose first derivatives are convex involving Reimann–Liouville integral operators. In order to obtain our results, we first prove a new integral identity as an auxiliary result. Based on this identity we establish some fractional weighted Simpson type inequalities for functions whose modulus of the first derivatives are convex. Several special cases are discussed. Error estimates for some numerical quadrature rules are furnished.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2023/9945588.pdf

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