Hermite-Hadamard Type Inequalities for convex functions via generalized fractional integral operators

Abstract

In this present work, the authors establish a new integral identity involving generalized fractional integral operators and by using this fractional-type integral identity, obtain some new Hermite-Hadamard type inequalities for functions whose first derivatives in absolute value are convex. Relevant connections of the results presented here with those earlier ones are also pointed out.

Keywords

• hermite-hadamard inequality
• riemann-liouville fractional integral
• fractional integral operator
• 26a33
• 26d10
• 26d15
• 33b20