| Title:
|
On modified Meyer-König and Zeller operators of functions of two variables (English) |
| Author:
|
Rempulska, Lucyna |
| Author:
|
Skorupka, Mariola |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2006 |
| Pages:
|
273-284 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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).). (English) |
| Keyword:
|
Meyer-König and Zeller operator |
| Keyword:
|
function of two variables |
| Keyword:
|
approximation theorem |
| MSC:
|
41A35 |
| MSC:
|
41A36 |
| idZBL:
|
Zbl 1164.41338 |
| idMR:
|
MR2260387 |
| . |
| Date available:
|
2008-06-06T22:48:28Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108007 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
[15] Rempulska L., Tomczak K.: On certain modified Meyer-König and Zeller operators.Grant PB-43-71/2004. Zbl 1107.41018 |
| Reference:
|
[16] Rempulska L., Skorupka M.: On strong approximation by modified Meyer-König and Zeller operators.Tamkang J. Math. (in print). Zbl 1119.41022, MR 2252622 |
| Reference:
|
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| . |
