Generalization of different type integral inequalities for s-convex functions via fractional integrals

Abstract

In this paper, a general integral identity for twice differentiable functions is derived. By using of this identity, the author establishes some new estimates on Hermite-Hadamard type and Simpson type inequalities for s-convex via Riemann–Liouville fractional integral.

Keywords:

• Hermite–Hadamard inequality
• Riemann–Liouville fractional integral
• Simpson type inequalities
• s-convex function

AMS Subject Classifications:

• 26A51
• 26A33
• 26D10