Title of article :
Hadamard and Fejér type inequalities for p-convex functions via Caputo fractional derivatives
Author/Authors :
Mehreen, Naila sector H-12 - School of Natural Sciences - National University of Sciences and Technology, Islamabad, Pakistan , Anwar, Matloob School of Natural Sciences - National University of Sciences and Technology, Islamabad, Pakistan
Abstract :
Here our aim is to prove the Hermite-Hadamard and Fejér inequalities for p-convex functions via Caputo fractional derivatives. We also establish some useful identities in order to find further Hadamard’s and Fejér type inequalities which are generalizations of the results given in the literature cited here.
Keywords :
Hermite-Hadamard inequality , Hermite-Hadamard-Fejér inequality , p-convex function , Caputo fractional derivatives
Journal title :
International Journal of Nonlinear Analysis and Applications