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On the optimality of the trigonometric system

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dc.contributor.author Jarad, Fahd
dc.contributor.author Kushpel, Alexander
dc.contributor.author Taş, Kenan
dc.date.accessioned 2020-03-23T12:32:59Z
dc.date.available 2020-03-23T12:32:59Z
dc.date.issued 2020-02
dc.identifier.citation Jarad, F.; Kushpel, A.; Tas, K., "On the optimality of the trigonometric system", Journal of Complexity, Vol. 56, (2020). tr_TR
dc.identifier.issn 1090-2708
dc.identifier.uri http://hdl.handle.net/20.500.12416/2714
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. tr_TR
dc.language.iso eng tr_TR
dc.publisher Academic Press INC Elsevier Science tr_TR
dc.relation.isversionof 10.1016/j.jco.2019.101429 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Optimal Subspaces tr_TR
dc.subject N-Widths tr_TR
dc.subject Trigonometric System tr_TR
dc.title On the optimality of the trigonometric system tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Complexity tr_TR
dc.contributor.authorID 234808 tr_TR
dc.contributor.authorID 4971 tr_TR
dc.contributor.authorID 279144 tr_TR
dc.identifier.volume 56 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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