Approximation in AC(𝜎)
For a nonempty compact subset sigma in the plane, the space AC(sigma) is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the classical setting, AC[0, 1] contains several other useful dense subsets, such as continuous piecewise linear functi...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
07 November 2022
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| In: |
Banach journal of mathematical analysis
Year: 2022, Volume: 17, Issue: 1, Pages: 1-15 |
| ISSN: | 1735-8787 |
| DOI: | 10.1007/s43037-022-00229-y |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1007/s43037-022-00229-y
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| Author Notes: | Ian Doust, Michael Leinert, Alan Stoneham |
| Summary: | For a nonempty compact subset sigma in the plane, the space AC(sigma) is the closure of the space of complex polynomials in two real variables under a particular variation norm. In the classical setting, AC[0, 1] contains several other useful dense subsets, such as continuous piecewise linear functions, C1 functions and Lipschitz functions. In this paper, we examine analogues of these results in this more general setting. |
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| Item Description: | Gesehen am 21.12.2022 |
| Physical Description: | Online Resource |
| ISSN: | 1735-8787 |
| DOI: | 10.1007/s43037-022-00229-y |