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

Abstract

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

• Simpson’s inequality
• ( α , m , h ) $(\alpha,m,h)$ -convex function
• ( α , m , s ) $(\alpha,m,s)$ -convex function