A generalizations of Simpson’s type inequality for differentiable functions using ( α , m ) -convex functions and applications

Abstract

In this paper, we establish some new inequalities of Simpson’s type based on -convexity for differentiable mappings. This contributes to new better estimates than presented already. Some applications for special means of real numbers and error estimates for some numerical quadrature rules are also given. MSC:26D15, 26D10.