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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2013, Volume 19, Number 4, Pages 42–47
(Mi timm998)
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This article is cited in 2 scientific papers (total in 2 papers)
Widths of some functional classes in the space $L_2$ on a period
S. N. Vasil'evab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Institute of Mathematics and Computer Science, Ural Federal University, Ekaterinburg
Abstract:
In a space of periodic functions with mean-square norm, we find the values of widths for some functional classes given by means of a modulus of continuity generated by an arbitrary difference operator and a weight function.
Keywords:
Jackson inequality; generalized modulus of continuity; widths of functional classes.
Received: 11.07.2013
Citation:
S. N. Vasil'ev, “Widths of some functional classes in the space $L_2$ on a period”, Trudy Inst. Mat. i Mekh. UrO RAN, 19, no. 4, 2013, 42–47; Proc. Steklov Inst. Math. (Suppl.), 287, suppl. 1 (2014), 202–207
Linking options:
https://www.mathnet.ru/eng/timm998 https://www.mathnet.ru/eng/timm/v19/i4/p42
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