Approximation by Kantorovich type (p,q)-Bernstein-Schurer Operators

TL;DR

This paper introduces a new generalization of (p,q)-Bernstein-Kantorovich operators called (p,q)-Bernstein-Schurer Kantorovich operators, analyzing their approximation properties and convergence behavior.

Contribution

It presents a novel (p,q)-Bernstein-Schurer Kantorovich operator and studies its approximation properties using Korovkin's theorem and direct theorems.

Findings

Operators successfully approximate target functions.

Convergence properties are established and illustrated.

Comparison results demonstrate effectiveness.

Abstract

In this paper, we introduce a Shurer type genaralization of (p,q)-Bernstein-Kantorovich operators based on (p,q)-integers and we call it as (p,q)-Bernstein-Schurer Kantorovich operators. We study approximation properties for these operators based on Korovkin's type approximation theorem and also study some direct theorems. Furthermore, we give comparisons and some illustrative graphics for the convergence of operators to some function.