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

Lucyna Rempulska; Mariola Skorupka

Archivum Mathematicum (2006)

- Volume: 042, Issue: 3, page 273-284
- ISSN: 0044-8753

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topRempulska, Lucyna, and Skorupka, Mariola. "On modified Meyer-König and Zeller operators of functions of two variables." Archivum Mathematicum 042.3 (2006): 273-284. <http://eudml.org/doc/249774>.

@article{Rempulska2006,

abstract = {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).).},

author = {Rempulska, Lucyna, Skorupka, Mariola},

journal = {Archivum Mathematicum},

keywords = {Meyer-König and Zeller operator; function of two variables; approximation theorem; approximation theorem},

language = {eng},

number = {3},

pages = {273-284},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {On modified Meyer-König and Zeller operators of functions of two variables},

url = {http://eudml.org/doc/249774},

volume = {042},

year = {2006},

}

TY - JOUR

AU - Rempulska, Lucyna

AU - Skorupka, Mariola

TI - On modified Meyer-König and Zeller operators of functions of two variables

JO - Archivum Mathematicum

PY - 2006

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 042

IS - 3

SP - 273

EP - 284

AB - 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).).

LA - eng

KW - Meyer-König and Zeller operator; function of two variables; approximation theorem; approximation theorem

UR - http://eudml.org/doc/249774

ER -

## References

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