On the Optimality of the Trigonometric System
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Kushpel, A. | |
| dc.contributor.author | Tas, K. | |
| dc.date.accessioned | 2020-03-23T12:32:59Z | |
| dc.date.accessioned | 2025-09-18T13:26:51Z | |
| dc.date.available | 2020-03-23T12:32:59Z | |
| dc.date.available | 2025-09-18T13:26:51Z | |
| dc.date.issued | 2020 | |
| dc.description.abstract | We study a new phenomenon of the behaviour of widths with respect to the optimality of trigonometric system. It is shown that the trigonometric system is optimal in the sense of Kolmogorov widths in the case of "super-high" and "super-small" smoothness but is not optimal in the intermediate cases. Bernstein's widths behave differently when compared with Kolmogorov in the case of "super-small" smoothness. However, in the case of "super-high" smoothness Kolmogorov and Bernstein widths behave similarly, i.e. are realized by trigonometric polynomials. (C) 2019 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.citation | Jarad, F.; Kushpel, A.; Tas, K., "On the optimality of the trigonometric system", Journal of Complexity, Vol. 56, (2020). | en_US |
| dc.identifier.doi | 10.1016/j.jco.2019.101429 | |
| dc.identifier.issn | 0885-064X | |
| dc.identifier.issn | 1090-2708 | |
| dc.identifier.scopus | 2-s2.0-85072022566 | |
| dc.identifier.uri | https://doi.org/10.1016/j.jco.2019.101429 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12754 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| dc.relation.ispartof | Journal of Complexity | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Optimal Subspaces | en_US |
| dc.subject | N-Widths | en_US |
| dc.subject | Trigonometric System | en_US |
| dc.title | On the Optimality of the Trigonometric System | en_US |
| dc.title | On the optimality of the trigonometric system | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Tas, Kenan/Ahd-8132-2022 | |
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| gdc.coar.access | open access | |
| gdc.coar.type | text::journal::journal article | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Jarad, Fahd; Kushpel, A.; Tas, K.] Cankaya Univ, Dept Math, Ankara, Turkey | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 56 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2972113003 | |
| gdc.identifier.wos | WOS:000501402500008 | |
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| gdc.oaire.keywords | Trigonometric approximation | |
| gdc.oaire.keywords | Approximation by arbitrary nonlinear expressions; widths and entropy | |
| gdc.oaire.keywords | \(n\)-widths | |
| gdc.oaire.keywords | Rate of convergence, degree of approximation | |
| gdc.oaire.keywords | optimal subspaces | |
| gdc.oaire.keywords | trigonometric system | |
| gdc.oaire.popularity | 5.1743574E-9 | |
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| gdc.oaire.sciencefields | 0101 mathematics | |
| gdc.oaire.sciencefields | 01 natural sciences | |
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| gdc.virtual.author | Jarad, Fahd | |
| gdc.virtual.author | Kushpel, Alexander | |
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