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Functions of minimal norm with the given set of Fourier coefficients

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dc.contributor.author Ivanshin P.
dc.date.accessioned 2020-01-15T22:09:25Z
dc.date.available 2020-01-15T22:09:25Z
dc.date.issued 2019
dc.identifier.uri https://dspace.kpfu.ru/xmlui/handle/net/156769
dc.description.abstract © 2019 by the authors. We prove the existence and uniqueness of the solution of the problem of the minimum norm function ∥ . ∥ ∞ with a given set of initial coefficients of the trigonometric Fourier series cj, j = 0, 1, . . ., 2n. Then, we prove the existence and uniqueness of the solution of the nonnegative function problem with a given set of coefficients of the trigonometric Fourier series cj, j = 1, . . ., 2n for the norm ∥ . ∥1.
dc.subject Conditional approximation
dc.subject Convergence
dc.subject Fourier polynomial
dc.subject Norm
dc.title Functions of minimal norm with the given set of Fourier coefficients
dc.type Article
dc.relation.ispartofseries-issue 7
dc.relation.ispartofseries-volume 7
dc.collection Публикации сотрудников КФУ
dc.source.id SCOPUS-2019-7-7-SID85070761651


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  • Публикации сотрудников КФУ Scopus [24551]
    Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.

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