Geodesic
On modified Meyer-König and Zeller operators of functions of two variables
Archivum mathematicum, Tome 42 (2006) no. 3, pp. 273-284

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This paper is motivated by Kirov results on generalized Bernstein polynomials given in (Kirov, G. H., A generalization of the Bernstein polynomials, Math. Balk. New Ser. bf 6 (1992), 147–153.). We introduce certain modified Meyer-König 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-König and Zeller operators of differentiable functions of one variable are given in (Rempulska, L., Tomczak, K., On certain modified Meyer-König and Zeller operators, Grant PB-43-71/2004.) and (Rempulska, L., Skorupka, M., On strong approximation by modified Meyer-König and Zeller operators, Tamkang J. Math. (in print).).
This paper is motivated by Kirov results on generalized Bernstein polynomials given in (Kirov, G. H., A generalization of the Bernstein polynomials, Math. Balk. New Ser. bf 6 (1992), 147–153.). We introduce certain modified Meyer-König 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-König and Zeller operators of differentiable functions of one variable are given in (Rempulska, L., Tomczak, K., On certain modified Meyer-König and Zeller operators, Grant PB-43-71/2004.) and (Rempulska, L., Skorupka, M., On strong approximation by modified Meyer-König and Zeller operators, Tamkang J. Math. (in print).).
Classification : 41A35, 41A36
Keywords: Meyer-König and Zeller operator; function of two variables; approximation theorem 
Rempulska, Lucyna; Skorupka, Mariola. On modified Meyer-König and Zeller operators of functions of two variables. Archivum mathematicum, Tome 42 (2006) no. 3, pp. 273-284. http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a9/
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     volume = {42},
     number = {3},
     mrnumber = {2260387},
     zbl = {1164.41338},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ARM_2006_42_3_a9/}
}
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