On the Optimality of the Trigonometric System
| dc.contributor.author | Jarad, Fahd | |
| dc.contributor.author | Kushpel, A. | |
| dc.contributor.author | Tas, K. | |
| dc.contributor.authorID | 234808 | tr_TR |
| dc.contributor.authorID | 4971 | tr_TR |
| dc.contributor.authorID | 279144 | tr_TR |
| dc.contributor.other | 02.02. Matematik | |
| dc.contributor.other | 02. Fen-Edebiyat Fakültesi | |
| dc.contributor.other | 01. Çankaya Üniversitesi | |
| 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.description.publishedMonth | 2 | |
| 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/123456789/12754 | |
| dc.language.iso | en | en_US |
| dc.publisher | Academic Press inc Elsevier Science | en_US |
| 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 |
| dspace.entity.type | Publication | |
| gdc.author.institutional | Jarad, Fahd | |
| gdc.author.institutional | Kushpel, Alexander | |
| gdc.author.scopusid | 15622742900 | |
| gdc.author.scopusid | 6603169485 | |
| gdc.author.scopusid | 9279157700 | |
| gdc.author.wosid | Jarad, Fahd/T-8333-2018 | |
| gdc.author.wosid | Tas, Kenan/Ahd-8132-2022 | |
| 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.openalex.normalizedpercentile | 0.67 | |
| gdc.opencitations.count | 4 | |
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| gdc.plumx.mendeley | 6 | |
| gdc.plumx.scopuscites | 4 | |
| gdc.scopus.citedcount | 4 | |
| gdc.wos.citedcount | 4 | |
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