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The Lebesgue constants on projective spaces

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dc.contributor.author Kushpel, Alexander
dc.date.accessioned 2023-02-08T11:06:46Z
dc.date.available 2023-02-08T11:06:46Z
dc.date.issued 2021
dc.identifier.citation Kushpel, Alexander (2021). "The Lebesgue constants on projective spaces", Turkish Journal of Mathematics, Vol. 45, No. 2, pp. 856-863. tr_TR
dc.identifier.issn 1300-0098
dc.identifier.uri http://hdl.handle.net/20.500.12416/6135
dc.description.abstract We give the solution of a classical problem of Approximation Theory on sharp asymptotic of the Lebesgue constants or norms of the Fourier-Laplace projections on the real projective spaces Pd (ℝ). In particular, these results extend sharp asymptotic found by Fejer [2] in the case of (Formula presented) in 1910 and by Gronwall [4] in 1914 in the case of (Formula presented). The case of spheres, (Formula presented), complex and quaternionic projective spaces, Pd(ℂ), Pd(ℍ) and the Cayley elliptic plane P16(Cay) was considered by Kushpel [8]. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.3906/mat-1910-111 tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fourier-Laplace Projection tr_TR
dc.subject Jacoby Polynomial tr_TR
dc.subject Lebesgue Constant tr_TR
dc.title The Lebesgue constants on projective spaces tr_TR
dc.type article tr_TR
dc.relation.journal Turkish Journal of Mathematics tr_TR
dc.identifier.volume 45 tr_TR
dc.identifier.issue 2 tr_TR
dc.identifier.startpage 856 tr_TR
dc.identifier.endpage 863 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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