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.