Contents

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

Author(s): H. Baïche1,2, B. Meftah3, A. Berkane2
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.

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