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One-sided widths of classes of smooth functions
Yurii N. Subbotinab a N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
b Ural Federal University, Ekaterinburg, Russia
Abstract:
One-sided widths of the classes of functions $W_p^r[0,1]$ in the metric $L_q[0,1],$ $1\le p,q \le \infty,\ r>1$, are studied. Such widths are defined similarly to Kolmogorov widths with additional constraints on the approximating functions.
Keywords:
One-sided widths, Exact orders, Classes of smooth functions.
Citation:
Yurii N. Subbotin, “One-sided widths of classes of smooth functions”, Ural Math. J., 1:1 (2015), 83–86
Linking options:
https://www.mathnet.ru/eng/umj8 https://www.mathnet.ru/eng/umj/v1/i1/p83
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Abstract page: | 186 | Full-text PDF : | 61 | References: | 43 |
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