On some quasi-periodic approximations
Armenian Journal of Mathematics
View Publication Info| Field | Value | |
| Title |
On some quasi-periodic approximations
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| Creator |
Poghosyan, Arnak
Poghosyan, Lusine Barkhudaryan, Rafayel |
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| Subject |
Fourier series
trigonometric interpolation convergence acceleration quasi-periodic approximation quasi-periodic interpolation 42A10 42A15 65T40 |
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| Description |
Trigonometric approximation or interpolation of a non-smooth function on a finite interval has poor convergence properties. This is especially true for discontinuous functions. The case of infinitely differentiable but non-periodic functions with discontinuous periodic extensions onto the real axis has attracted interest from many researchers. In a series of works, we discussed an approach based on quasi-periodic trigonometric basis functions whose periods are slightly bigger than the length of the approximation interval. We proved validness of the approach for trigonometric interpolations. In this paper, we apply those ideas to classical Fourier expansions.
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| Publisher |
National Academy of Sciences of Armenia
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| Date |
2020-10-30
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| Type |
info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion Peer-reviewed Article |
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| Format |
application/pdf
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| Identifier |
http://armjmath.sci.am/index.php/ajm/article/view/460
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| Source |
Armenian Journal of Mathematics; Vol. 12 No. 10 (2020): On some quasi-periodic approximations; 1-27
1829-1163 |
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| Language |
eng
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| Relation |
http://armjmath.sci.am/index.php/ajm/article/view/460/163
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| Rights |
Copyright (c) 2020 Armenian Journal of Mathematics
http://creativecommons.org/licenses/by/4.0 |
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