Some parameterized integral inequalities for <em>p</em>-convex mappings via the right Katugampola fractional integrals

Abstract

We use the definition of a fractional integral operators, proposed by Katugampola, to establish a fractional Hermite-Hadamard’s inequality for p-convex mappings and an identity with two parameters. We derive several parameterized integral inequalities associated with this identity, and provide three examples to illustrate the obtained results.

Keywords

• hermite-hadamard’s inequality
• simpson’s inequality
• riemann-liouville fractional integrals
• hadamard fractional integrals