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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.
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Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2014, 287, suppl. 1, 202–207
Bibliographic databases:
UDC:
517.1 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
Citation in format AMSBIB
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http://mi.mathnet.ru/eng/timm998 http://mi.mathnet.ru/eng/timm/v19/i4/p42
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This publication is cited in the following articles:
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S. B. Vakarchuk, “Jackson-type inequalities with generalized modulus of continuity and exact values of the $n$-widths for the classes of $(\psi,\beta)$-differentiable functions in $L_2$. III”, Ukr. Math. J., 68:10 (2017), 1495–1518
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Vakarchuk S.B., “Generalized Characteristics of Smoothness and Some Extreme Problems of the Approximation Theory of Functions in the Space l-2(). i”, Ukr. Math. J., 70:9 (2019), 1345–1374
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