Fractional Ostrowski Type Inequalities for Functions Whose Mixed Derivatives are Prequasiinvex and alpha-Prequasiinvex Functions

Badreddine Meftah (Laboratoire des télécommunications, Faculté des Sciences et de la Technologie, Université 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.)
Meriem Merad (Département des Mathématiques, Faculté des mathématiques, de l'informatique et des sciences de la matière, Université 8 mai 1945 Guelma, Algeria)
Abdourazek Souahi (University Badji Mokhtar Annaba, Algeria)

Journal of the Indonesian Mathematical Society
Volume 25 Number 2 (July 2019)

In this paper, the authors introduce two new classes of generalized convexfunctions of two independent variables, and establish a new integralidentity, from which they derive some new fractional Ostrowski's integralinequalities for functions whose second derivatives are in these new classesof functions.