# Approximation properties of (p,q)-Meyer-Konig-Zeller Durrmeyer operators

## TL;DR

This paper introduces (p,q)-Meyer-Konig-Zeller Durrmeyer operators, analyzes their convergence properties, and demonstrates their approximation capabilities through theoretical results and MATLAB simulations.

## Contribution

It presents a novel (p,q)-based Durrmeyer modification of Meyer-Konig-Zeller operators with new convergence and approximation results.

## Key findings

- Operators converge uniformly for continuous functions
- Statistical approximation properties are established
- Numerical examples confirm theoretical results

## Abstract

In this paper, we introduce Durrmeyer type modification of Meyer-Konig-Zeller operators based on (p,q)-integers. Rate of convergence of these operators are explored with the help of Korovkin type theorems. We establish some direct results for proposed operators. We also obtain statistical approximation properties of operators. In last section, we show rate of convergence of (p,q)-Meyer-Konig-Zeller Durrmeyer operators for some functions by means of Matlab programming.