Functions of minimal norm with the given set of Fourier coefficients

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.