Certain new bounds considering the weighted Simpson-like type inequality and applications

Abstract

We investigate a weighted Simpson-type identity and obtain new estimation-type results related to the weighted Simpson-like type inequality for the first-order differentiable mappings. We also present some applications to f-divergence measures and to higher moments of continuous random variables.

Keywords: ( α , m , h ) -convex function; ( α , m , s ) -convex function; Simpson’s inequality.