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This article is cited in 3 scientific papers (total in 3 papers)
Study of the convergence of interpolation processes with splines of even degree
Yu. S. Volkovab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
b Novosibirsk State University
Abstract:
We study the convergence of interpolation processes by Subbotin polynomial splines of even degree. We prove that the good conditionality of a system of equations for constructing an interpolation spline via the coefficients of the expansion of the kth derivative in B-splines is equivalent to the convergence of the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.
Received: 30.01.2019 Revised: 15.04.2019 Accepted: 15.05.2019
Citation:
Yu. S. Volkov, “Study of the convergence of interpolation processes with splines of even degree”, Sibirsk. Mat. Zh., 60:6 (2019), 1247–1259; Siberian Math. J., 60:6 (2019), 973–983
Linking options:
https://www.mathnet.ru/eng/smj3146 https://www.mathnet.ru/eng/smj/v60/i6/p1247
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Abstract page: | 385 | Full-text PDF : | 119 | References: | 26 | First page: | 3 |
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