Title of article :
Fractional Hermite-Hadamard type inequalities for functions whose derivatives are extended s-(?,m)-preinvex
Author/Authors :
Meftah, Badreddine Laboratoire des t ́el ́ecommunications - Facult ́e des Sciences et de la Technologie - University of 8 May 1945Guelma, Algeria , Souahi, Abdourazek Laboratory of Advanced Materials - University of Badji Mokhtar-Annaba, Algeria
Abstract :
In this paper, we introduce the class of extended s-(alpha,m)-preinvex functions. We establish a new fractional integral identity and derive some new fractional Hermite-Hadamard type inequalities for functions whose derivatives are in this novel class of function.
Keywords :
Iintegral inequality , extended s-(alpha, m)-preinvex functions , Hölder inequality
Journal title :
International Journal of Optimization and Control: Theories and Applications
