Approximation of the periodical functions of high smoothness by the right-angled linear means of Fourier series
We obtain asymptotic equalities for upper bounds of the deviations of the right-angled de la Vallee Poussin sums taken over classes of periodical functions of many variables of high smoothness. These equalities guarantee the solvability of the Kolmogorov-Nikolskii problem for the right-angled de la...
| Main Authors: | , |
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| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Computer Science
2012-09-01
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| Series: | Компьютерные исследования и моделирование |
| Subjects: | |
| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2012_3/521-529.pdf |