New Fractal Simpson Estimates for Twice Local Differentiable Generalized Convex Mappings

Abstract

. The main focus of this research is to provide a new auxiliary results of the Simpson's notation for a local fractional function that is twice differentiable via extended-fractal integral operator. Using Ho<spacing diaeresis>lder-Yang's and Power-mean integral inequalities in conjunction with generalized convexity, we produce a series of new fractal Simpson's error estimates. Additionally, we will use improved Yang's inequalities to create new boundaries. Visual illustrations demonstrate the accuracy and supremacy of the offered technique. Applications to the c-type special, moment of random variables as well as wave-equations are given. In this work, we present an extension of previously published results.