Kantorovich form of generalized Szasz-type operators with certain parameters using Charlier polynomials

TL;DR

This paper introduces a new class of generalized Szasz-type operators using Charlier polynomials, analyzing their convergence, approximation properties, and error estimates in weighted polynomial spaces.

Contribution

It presents the Kantorovich form of these operators, providing new theoretical results on convergence rates, error bounds, and approximation theorems in polynomial weighted spaces.

Findings

Established the rate of convergence for the operators.

Derived better error estimates for approximation.

Proved a Korovkin-type theorem in weighted polynomial spaces.

Abstract

The aim of this article is to introduce the Kantorovich form of generalized Szasz-type operators involving Charlier polynomials with certain parameters. In this paper we discussed the rate of convergence better error estimates and Korovkin-type theorem in polynomial weighted space. Further, we investigate the local approximation results with the help of Ditzian-Totik modulus of smoothness second order modulus of continuity Peetre's K functional and Lipschitz class.