Approximation of classes of Poisson integrals by Fejer sums
We obtain asymptotic formula for upper bounds of deviations of Fejer sums on classes of Poisson integrals. Under certain conditions, formula guarantee the solvability of the Kolmogorov-Nikolskiy problem for Fejer sums and classes of Poisson integrals.
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| Format: | Article |
| Language: | Russian |
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Institute of Computer Science
2015-08-01
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| Series: | Компьютерные исследования и моделирование |
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| Online Access: | http://crm.ics.org.ru/uploads/crmissues/crm_2015_4/150702.pdf |
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Article |
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doaj-a1d3f937de4f4281b0cf39808e2808c02020-11-24T20:53:43ZrusInstitute of Computer ScienceКомпьютерные исследования и моделирование2076-76332077-68532015-08-017481381910.20537/2076-7633-2015-7-4-813-8192341Approximation of classes of Poisson integrals by Fejer sumsOleg Aleksandrovich NovikovOlga G RovenskaWe obtain asymptotic formula for upper bounds of deviations of Fejer sums on classes of Poisson integrals. Under certain conditions, formula guarantee the solvability of the Kolmogorov-Nikolskiy problem for Fejer sums and classes of Poisson integrals.http://crm.ics.org.ru/uploads/crmissues/crm_2015_4/150702.pdfFourier seriesKolmogorov–Nikol’skiy problemclass of Poisson integrals |
| collection |
DOAJ |
| language |
Russian |
| format |
Article |
| sources |
DOAJ |
| author |
Oleg Aleksandrovich Novikov Olga G Rovenska |
| spellingShingle |
Oleg Aleksandrovich Novikov Olga G Rovenska Approximation of classes of Poisson integrals by Fejer sums Компьютерные исследования и моделирование Fourier series Kolmogorov–Nikol’skiy problem class of Poisson integrals |
| author_facet |
Oleg Aleksandrovich Novikov Olga G Rovenska |
| author_sort |
Oleg Aleksandrovich Novikov |
| title |
Approximation of classes of Poisson integrals by Fejer sums |
| title_short |
Approximation of classes of Poisson integrals by Fejer sums |
| title_full |
Approximation of classes of Poisson integrals by Fejer sums |
| title_fullStr |
Approximation of classes of Poisson integrals by Fejer sums |
| title_full_unstemmed |
Approximation of classes of Poisson integrals by Fejer sums |
| title_sort |
approximation of classes of poisson integrals by fejer sums |
| publisher |
Institute of Computer Science |
| series |
Компьютерные исследования и моделирование |
| issn |
2076-7633 2077-6853 |
| publishDate |
2015-08-01 |
| description |
We obtain asymptotic formula for upper bounds of deviations of Fejer sums on classes of Poisson integrals. Under certain conditions, formula guarantee the solvability of the Kolmogorov-Nikolskiy problem for Fejer sums and classes of Poisson integrals. |
| topic |
Fourier series Kolmogorov–Nikol’skiy problem class of Poisson integrals |
| url |
http://crm.ics.org.ru/uploads/crmissues/crm_2015_4/150702.pdf |
| work_keys_str_mv |
AT olegaleksandrovichnovikov approximationofclassesofpoissonintegralsbyfejersums AT olgagrovenska approximationofclassesofpoissonintegralsbyfejersums |
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1716796394317021184 |