Fractional Simpson like type inequalities for differentiable <i>s</i>-convex functions-Reference-Cited by-同舟云学术

Fractional Simpson like type inequalities for differentiable s-convex functions

Published:2022-05-01 Issue:1 Volume:18 Page:73-91
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Kamouche N.¹,Ghomrani S.²,Meftah B.³

Affiliation:

1. Department of Mathematics, Faculty of Sciences , University of Badji Mokhtar–Annaba , Algeria .

2. Ecole normale supérieure de Sétif Messaoud Zeggar, Département des sciences. Sétif , Algeria .

3. Département des Mathématiques, Faculté des mathématiques, de l’informatique et des sciences de la matière , Université 8 mai 1945 Guelma , Algeria

Abstract

Abstract In this paper, based on new identity we establish some new Simpson like type inequalities for functions whose first derivatives are s-convex via Riemann-Liouville fractional integrals. The case where the derivatives are bounded as well as the case where the derivatives satisfy the Hölder condition are also discussed. The obtained results extend some known results and refine another one. Applications of the results are given at the end.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2022-0006

Reference18 articles.

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