Better numerical approximation by Durrmeyer type operators

TL;DR

This paper introduces new Durrmeyer type operators that improve numerical approximation, providing better convergence properties and validated through theoretical analysis and numerical examples.

Contribution

The paper develops novel Durrmeyer operators with enhanced features over classical versions, including improved convergence and asymptotic behavior.

Findings

Enhanced rate of convergence demonstrated

Asymptotic formulas derived for the new operators

Numerical examples confirm theoretical improvements

Abstract

The main object of this paper is to construct new Durrmeyer type operators which have better features than the classical one. Some results concerning the rate of convergence and asymptotic formulas of the new operator are given. Finally, the theoretical results are analyzed by numerical examples.