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Matematicheskie Zametki, 1971, Volume 9, Issue 5, Pages 501–510
(Mi mzm7035)
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This article is cited in 3 scientific papers (total in 4 papers)
A relation between spline approximation and the problem of the approximation of one class by another
Yu. N. Subbotin V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR
Abstract:
An investigation of the approximation in $L_q(-\infty,\,\infty)$ of differentiable functions whose $k$-th derivatives belong to $L_p(-\infty,\,\infty)$, by splines $S_m(x)$ with nonfixed nodes, under the extra assumption that the norms in $L_s(-\infty,\infty)$ of their $l$-th derivatives have a common bound. A relation is established with the problem of approximating functions of one class by functions of another class.
Received: 17.04.1970
Citation:
Yu. N. Subbotin, “A relation between spline approximation and the problem of the approximation of one class by another”, Mat. Zametki, 9:5 (1971), 501–510; Math. Notes, 9:5 (1971), 289–294
Linking options:
https://www.mathnet.ru/eng/mzm7035 https://www.mathnet.ru/eng/mzm/v9/i5/p501
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