HADAMARD AND FEJéR-HADAMARD INEQUALITIES AND RELATED RESULTS VIA CAPUTO FRACTIONAL DERIVATIVES

摘要

In this paper we prove the Hadamard and the Fej′ er-Hadamard inequalities for convex functions via Caputo fractional derivatives. We also derive some related inequalities for n-time differentiable functions f (n) such that |f (n) | q ,q ≥ 1 is convex, by using Caputo fractional derivatives.