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This article is cited in 4 scientific papers (total in 4 papers)
Bernstein width of a class of functions of finite smoothness
S. N. Kudryavtsev Dorodnitsyn Computing Centre of the Russian Academy of Sciences
Abstract:
A weak asymptotic formula is obtained for the Bernstein $n$-width in the space $L_q(I^d)$ of the class $F_p^{l,\omega }(I^d)$ of functions on the cube $I^d$ such that their generalized partial derivatives up to order $l$ belong to $L_p(I^d)$ and the moduli of continuity in the space $L_p(I^d)$ of all their derivatives of order $l$ are majorized by a fixed modulus of continuity $\omega$.
Received: 14.05.1996 and 09.03.1999
Citation:
S. N. Kudryavtsev, “Bernstein width of a class of functions of finite smoothness”, Mat. Sb., 190:4 (1999), 63–86; Sb. Math., 190:4 (1999), 539–560
Linking options:
https://www.mathnet.ru/eng/sm393https://doi.org/10.1070/sm1999v190n04ABEH000393 https://www.mathnet.ru/eng/sm/v190/i4/p63
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Abstract page: | 396 | Russian version PDF: | 218 | English version PDF: | 12 | References: | 79 | First page: | 1 |
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