Some approximation results on higher order generalization of Bernstein type operators defined by (p,q)-integers

TL;DR

This paper introduces higher order Bernstein-type operators based on (p,q)-integers and establishes their approximation properties using the modulus of continuity.

Contribution

It presents a novel higher order generalization of Bernstein operators defined via (p,q)-integers and analyzes their approximation behavior.

Findings

New higher order Bernstein operators introduced

Approximation properties established using modulus of continuity

Provides theoretical foundation for further applications

Abstract

In this paper, we introduce the higher order generalization of Bernstein type operators defined by (p,q)-integers. We establish some approximation results for these new operators by using the modulus of continuity.