## On modified Meyer-Koenig and Zeller
operators of functions of two
variables

*L. Rempulska, M. Skorupka*

## Address.

Institute of Mathematics, Poznan University of Technology, ul. Piotrowo 3A, 60-965
Poznan, Poland

**E-mail.** lrempuls@math.put.poznan.pl
mariolas@math.put.poznan.pl

**Abstract****.**

This paper is motivated by Kirov results on generalized Bernstein polynomials given in [11]. We introduce certain
modified Meyer-Koenig and Zeller
operators in the space of differentiable
functions of two variables and
we study approximation properties for them. Some approximation properties of the
Meyer-Koenig and Zeller operators
of differentiable functions of one
variable are given in [15] and [16].

**AMSclassification**.
41A36.

Keywords. Meyer-K\"{o}nig and Zeller
operator, function of two variables,
approximation theorem.