| Title:
|
Simultaneous approximation by a class of Bernstein-Durrmeyer operators preserving linear functions (English) |
| Author:
|
Gonska, Heiner |
| Author:
|
Păltănea, Radu |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
60 |
| Issue:
|
3 |
| Year:
|
2010 |
| Pages:
|
783-799 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce and study a one-parameter class of positive linear operators constituting a link between the well-known operators of S. N. Bernstein and their genuine Bernstein-Durrmeyer variants. Several limiting cases are considered including one relating our operators to mappings investigated earlier by Mache and Zhou. A recursion formula for the moments is proved and estimates for simultaneous approximation of derivatives are given. (English) |
| Keyword:
|
positive linear operator |
| Keyword:
|
Bernstein-type operator |
| Keyword:
|
genuine Bernstein-Durrmeyer operator |
| Keyword:
|
simultaneous approximation |
| Keyword:
|
degree of approximation |
| Keyword:
|
moduli of continuity |
| MSC:
|
41A10 |
| MSC:
|
41A17 |
| MSC:
|
41A25 |
| MSC:
|
41A28 |
| MSC:
|
41A36 |
| MSC:
|
41A60 |
| idZBL:
|
Zbl 1224.41016 |
| idMR:
|
MR2672415 |
| . |
| Date available:
|
2010-07-20T17:18:20Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/140604 |
| . |
| 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:
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[15] Pǎltǎnea, R.: Une propriété d'extrémalité des valeurs propres des opérateurs polynômiaux de Durrmeyer généralisés.Math., Rev. Anal. Numér. Théor. Approximation, Anal. Numér. Théor. Approximation 15 (1986), 57-64 French. MR 0870679 |
| Reference:
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| Reference:
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| Reference:
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