Estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space

dc.contributor.author	Fedotov A.
dc.date.accessioned	2018-09-18T20:00:55Z
dc.date.available	2018-09-18T20:00:55Z
dc.date.issued	2007
dc.identifier.issn	0001-4346
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/135759
dc.description.abstract	We obtain an estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space. It is shown that, under a suitable choice of the sequence of multi-indices, interpolation polynomials converge to the interpolated function and their rate of convergence is of the order of the best approximation of this function. © Nauka/Interperiodica 2007.
dc.relation.ispartofseries	Mathematical Notes
dc.subject	Best approximation
dc.subject	Hilbert space
dc.subject	Interpolation polynomial
dc.subject	Lagrange interpolation operator
dc.subject	Rate of convergence
dc.subject	Riemann zeta function
dc.subject	Sobolev space
dc.title	Estimate of the norm of the Lagrange interpolation operator in a multidimensional Sobolev space
dc.type	Article
dc.relation.ispartofseries-issue	3-4
dc.relation.ispartofseries-volume	81
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	373
dc.source.id	SCOPUS00014346-2007-81-34-SID34248385583

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.