Fractional Weighted Midpoint-Type Inequalities for s-Convex Functions-Reference-Cited by-同舟云学术

Fractional Weighted Midpoint-Type Inequalities for s-Convex Functions

Published:2023-02-28 Issue:3 Volume:15 Page:612
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Nasri Nassima¹,Aissaoui Fatima²,Bouhali Keltoum¹³,Frioui Assia²,Meftah Badreddine²,Zennir Khaled³^ORCID,Radwan Taha³⁴^ORCID

Affiliation:

1. Departement de Mathématiques, Université 20 Août 1955, Skikda Bp 26 Route El-Hadaiek, Skikda 21000, Algeria

2. Département de Mathématiques, Faculté des Mathématiques, de l’informatique et des Sciences de la Matière, Université 8 Mai 1945 Guelma, Guelma 24000, Algeria

3. Department of Mathematics, College of Science and Arts, Qassim University, Ar-Rass 51452, Saudi Arabia

4. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said 42511, Egypt

Abstract

In the present paper, we first prove a new integral identity. Using that identity, we establish some fractional weighted midpoint-type inequalities for functions whose first derivatives are extended s-convex. Some special cases are discussed. Finally, to prove the effectiveness of our main results, we provide some applications to numerical integration as well as special means.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/3/612/pdf

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