| Title:
|
Lagrange approximation in Banach spaces (English) |
| Author:
|
Nilsson, Lisa |
| Author:
|
Pinasco, Damián |
| Author:
|
Zalduendo, Ignacio |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
1 |
| Year:
|
2015 |
| Pages:
|
281-288 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Starting from Lagrange interpolation of the exponential function ${\rm e}^z$ in the complex plane, and using an integral representation formula for holomorphic functions on Banach spaces, we obtain Lagrange interpolating polynomials for representable functions defined on a Banach space $E$. Given such a representable entire funtion $f\colon E \to \mathbb C$, in order to study the approximation problem and the uniform convergence of these polynomials to $f$ on bounded sets of $E$, we present a sufficient growth condition on the interpolating sequence. (English) |
| Keyword:
|
Lagrange interpolation |
| Keyword:
|
Lagrange approximation |
| Keyword:
|
Kergin interpolation |
| Keyword:
|
Kergin approximation |
| Keyword:
|
Banach space |
| MSC:
|
30E10 |
| MSC:
|
30E20 |
| MSC:
|
46G20 |
| idZBL:
|
Zbl 06433735 |
| idMR:
|
MR3336039 |
| DOI:
|
10.1007/s10587-015-0174-5 |
| . |
| Date available:
|
2015-04-01T12:46:56Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144227 |
| . |
| 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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| . |
