On some integral inequalities for twice differentiable quasi-convex and convex functions via fractional integrals

Abstract

In this article, a new general identity for twice dierentiable functions via Riemann-Liouville fractional integrals is established. By making use of this equality, author has obtained new estimates on generalization of Hadamard, Ostrowski and Simpson type inequalities for functions whose second derivatives in absolute value at certain powers are, respectively, convex and quasi-convex functions via Riemann-Liouville fractional integrals.