Approximation by using the Meyer-K\"{o}nig and Zeller operators based on $ (p,q)$-analogue

Abstract

In this paper, a generalization of the $q$-Meyer-K\"{o}nig and Zeller operators by means of the $(p,q)$-calculus is introduced. Some approximation results for $(p,q)$-analogue of Meyer-K\"{o}nig and Zeller operators denoted by $M_{n,p, q}$ for $0 < q <p \leq 1 $ are obtained. Also we investigate classical and statistical versions of Korovkin type approximation results based on proposed operator. Furthermore, some graphical examples for convergence of the operators are presented.