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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| Published in: | Український математичний журнал |
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| Date: | 1996 |
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| Format: | Article |
| Language: | Russian |
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Інститут математики НАН України
1996
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| Subjects: | |
| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/157551 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Приближение классов функций многих переменных их ортогональными проекциями на подпространства тригонометрических полиномов / А.С. Романюк // Український математичний журнал. — 1996. — Т. 48, № 1. — С. 80-89. — Бібліогр.: 11 назв. — рос. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| 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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| ISSN: | 1027-3190 |