Estimates of trapezium-type inequalities for h-convex functions with applications to quadrature formulae

Abstract

In this article, we develop a new class of trapezium-type inequalities up to twice differentiable h-convex mappings for fractional integrals of Riemann-type. We conclude numerous existing results in literature from our general inequalities. Based on our consequences, we will obtain some quadrature formulas as applications.

Keywords

• mid-point type inequalities
• generalized riemann-liouville fractional integral operator
• h-convex
• s-convex