On modified Meyer-König and Zeller operators of functions of two variables
Rempulska, Lucyna ; Skorupka, Mariola
Archivum Mathematicum, Tome 042 (2006), p. 273-284 / Harvested from Czech Digital Mathematics Library
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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).).

Publié le : 2006-01-01
Classification:  41A35,  41A36 
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     author = {Lucyna Rempulska and Mariola Skorupka},
     title = {On modified Meyer-K\"onig and Zeller operators of functions of two variables},
     journal = {Archivum Mathematicum},
     volume = {042},
     year = {2006},
     pages = {273-284},
     zbl = {1164.41338},
     mrnumber = {2260387},
     language = {en},
     url = {http://dml.mathdoc.fr/item/108007}
}

Rempulska, Lucyna; Skorupka, Mariola. On modified Meyer-König and Zeller operators of functions of two variables. Archivum Mathematicum, Tome 042 (2006) pp. 273-284. http://gdmltest.u-ga.fr/item/108007/

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