2025-02-23T00:23:59-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: Query fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-157551%22&qt=morelikethis&rows=5
2025-02-23T00:23:59-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: => GET http://localhost:8983/solr/biblio/select?fl=%2A&wt=json&json.nl=arrarr&q=id%3A%22irk-123456789-157551%22&qt=morelikethis&rows=5
2025-02-23T00:23:59-05:00 DEBUG: VuFindSearch\Backend\Solr\Connector: <= 200 OK
2025-02-23T00:23:59-05:00 DEBUG: Deserialized SOLR response
Приближение классов функций многих переменных их ортогональными проекциями на подпространства тригонометрических полиномов

Приближение классов функций многих переменных их ортогональными проекциями на подпространства тригонометрических полиномов

In the space Lq, 1<q<∞ we establish estimates for the orders of the best approximations of the classes of functions of many variablesB1,θ r and B p,α r by orthogonal projections of functions from these classes onto the subspaces of trigonometric polynomials. It is shown that, in many cases, th...

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Bibliographic Details
Main Author: Романюк, А.С.
Format: Article
Language:Russian
Published: Інститут математики НАН України 1996
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/157551
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Summary:In the space Lq, 1<q<∞ we establish estimates for the orders of the best approximations of the classes of functions of many variablesB1,θ r and B p,α r by orthogonal projections of functions from these classes onto the subspaces of trigonometric polynomials. It is shown that, in many cases, the estimates obtained in the present work are better in order than in the case of approximation by polynomials with harmonics from the hyperbolic cross.

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