Some new inequalities of Hermite-Hadamard type for s-convex functions with applications

Abstract

In this paper, we present several new and generalized Hermite-Hadamard type inequalities for s-convex as well as s-concave functions via classical and Riemann-Liouville fractional integrals. As applications, we provide new error estimations for the trapezoidal formula.

Keywords

• s-convex function
• hermite-hadamard inequality
• hölder inequality
• trapezoidal formula
• 26d15
• 26a51
• 26d20