| Title:
|
Integral presentations of deviations of de la Vallee Poussin right-angled sums (English) |
| Author:
|
Rukasov, Vladimir I. |
| Author:
|
Rovenska, Olga G. |
| Language:
|
English |
| Journal:
|
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica |
| ISSN:
|
0231-9721 |
| Volume:
|
48 |
| Issue:
|
1 |
| Year:
|
2009 |
| Pages:
|
129-137 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We investigate approximation properties of de la Vallee Poussin right-angled sums on the classes of periodic functions of several variables with a high smoothness. We obtain integral presentations of deviations of de la Vallee Poussin sums on the classes $C_{\beta ,\infty }^{m\alpha }$. (English) |
| Keyword:
|
Right-angled sums of Vallee Poussin |
| Keyword:
|
integral presentations |
| Keyword:
|
Fourier series |
| MSC:
|
42A10 |
| idZBL:
|
Zbl 1193.42007 |
| idMR:
|
MR2641953 |
| . |
| Date available:
|
2010-02-11T13:58:44Z |
| Last updated:
|
2012-05-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/137505 |
| . |
| 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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