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Trudy Petrozavodskogo Gosudarstvennogo Universiteta. Seriya Matematika, 2001, Issue 8, Pages 20–36
(Mi pa85)
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This article is cited in 1 scientific paper (total in 1 paper)
Обобщенные сдвиги Бесселя и некоторые задачи теории приближений функций в метрике $L_{2}$. II
S. S. Platonov Petrozavodsk State University, Faculty of Mathematics
Abstract:
Some problems of aproximations of functions on half-interval $[0,+\infty)$ in the $L_2$-metric with certain weight by entire functions of exponential growth are studied. Modules of continuity which used in problems are constructed with help of generalized translations of Bessel. Direct theorems of Jacson type are proved. Nikolskii-Besov type function spaces are defined and their description are obtained in terms of the best approximations.
Citation:
S. S. Platonov, “Обобщенные сдвиги Бесселя и некоторые задачи теории приближений функций в метрике $L_{2}$. II”, Tr. Petrozavodsk. Gos. Univ. Ser. Mat., 2001, no. 8, 20–36
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https://www.mathnet.ru/eng/pa85 https://www.mathnet.ru/eng/pa/y2001/i8/p20
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Abstract page: | 93 | Full-text PDF : | 63 |
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