| Title:
|
Approximation by $p$-Faber-Laurent rational functions in the weighted Lebesgue spaces (English) |
| Author:
|
Israfilov, Daniyal M. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
54 |
| Issue:
|
3 |
| Year:
|
2004 |
| Pages:
|
751-765 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $L\subset C$ be a regular Jordan curve. In this work, the approximation properties of the $p$-Faber-Laurent rational series expansions in the $\omega $ weighted Lebesgue spaces $L^p(L,\omega )$ are studied. Under some restrictive conditions upon the weight functions the degree of this approximation by a $k$th integral modulus of continuity in $L^p(L,\omega )$ spaces is estimated. (English) |
| Keyword:
|
Faber polynomial |
| Keyword:
|
Faber series |
| Keyword:
|
weighted Lebesgue space |
| Keyword:
|
weighted Smirnov space |
| Keyword:
|
$k$-th modulus of continuity |
| MSC:
|
30E10 |
| MSC:
|
41A10 |
| MSC:
|
41A25 |
| MSC:
|
41A30 |
| MSC:
|
41A58 |
| idZBL:
|
Zbl 1080.41500 |
| idMR:
|
MR2086731 |
| . |
| Date available:
|
2009-09-24T11:17:13Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127926 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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