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Widths and entropy of sets of smooth functions on compact homogeneous manifolds

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dc.contributor.author Kushpel, Alexander
dc.contributor.author Taş, Kenan
dc.contributor.author Levesley, Jeremy
dc.date.accessioned 2022-01-31T13:26:03Z
dc.date.available 2022-01-31T13:26:03Z
dc.date.issued 2021
dc.identifier.citation Kushpel, Alexander; Taş, Kenan; Levesley, Jeremy (2021). "Widths and entropy of sets of smooth functions on compact homogeneous manifolds", Turkish Journal of Mathematics, Vol. 45, No. 1, pp. 167-184. tr_TR
dc.identifier.issn 1300-0098
dc.identifier.issn 1303-6149
dc.identifier.uri http://hdl.handle.net/20.500.12416/4973
dc.description.abstract We develop a general method to calculate entropy and n-widths of sets of smooth functions on an arbitrary compact homogeneous Riemannian manifold M-d. Our method is essentially based on a detailed study of geometric characteristics of norms induced by subspaces of harmonics on M-d. This approach has been developed in the cycle of works [1, 2, 10-19]. The method's possibilities are not confined to the statements proved but can be applied in studying more general problems. As an application, we establish sharp orders of entropy and n-widths of Sobolev's classes W-p(gamma)(M-d) and their generalisations in L-q (M-d) for any 1 < p, q < infinity. In the case p, q = 1, infinity sharp in the power scale estimates are presented. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3906/mat-1911-79 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject N-Widths tr_TR
dc.subject Compact Homogeneous tr_TR
dc.subject Manifold Levy Meanvolume tr_TR
dc.title Widths and entropy of sets of smooth functions on compact homogeneous manifolds tr_TR
dc.type article tr_TR
dc.relation.journal Turkish Journal of Mathematics tr_TR
dc.contributor.authorID 279144 tr_TR
dc.contributor.authorID 4971 tr_TR
dc.identifier.volume 45 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 167 tr_TR
dc.identifier.endpage 184 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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