Trapezoidal type inequalities via \(\left( s,m\right) \)-preinvex functions for Caputo fractional derivatives

Baïche, H.; Meftah, B.; Berkane, A.

doi:10.30538/psrp-easl2025.0106

Engineering and Applied Science Letters (EASL)

Volume 8 (2025) Issue 1
Pages: 38
- 49

ISSN: 2617-9709 (Online) 2617-9695 (Print)

DOI: https://www.doi.org/10.30538/psrp-easl2025.0106

Research article

Trapezoidal type inequalities via \(\left( s,m\right) \)-preinvex functions for Caputo fractional derivatives

Author(s): ^¹,², ^³, ^²

¹Université 20 août 1955 Skikda Bp 26 Route El-Hadaiek 21000 Skikda, Algeria

²Department of Mathematics, Faculty of Sciences, University of Badji Mokhtar–Annaba, Algeria

³Département des Mathématiques, Faculté des math ématiques, de l’informatique et des sciences de la matière, Universit é 8 mai 1945 Guelma, Algeria.

Copyright © H. Baïche, B. Meftah, A. Berkane. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Received: 25/09/2021
Accepted: 03/01/2023
Published: 21/03/2025

Abstract

In this paper, by using a new identity we establish some trapezoidal type inequalities for functions whose modulus of the first derivatives are \( \left( s,m\right)\)-preinvex via Caputo fractional derivatives.

Keywords: Hermite-Hadamard inequality, Holder inequality, Caputo fractional derivatives, \(\left( s,m\right) \)-preinvex functions

Contents

Engineering and Applied Science Letters (EASL)

Trapezoidal type inequalities via \(\left( s,m\right) \)-preinvex functions for Caputo fractional derivatives

Abstract

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