|
This article is cited in 7 scientific papers (total in 7 papers)
Local approximation by splines with displacement of nodes
Yu. S. Volkova, E. V. Strelkovab, V. T. Shevaldinb a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg, Russia
Abstract:
We consider the problem of approximating a function defined on a uniform mesh by the method of local polynomial spline-approximation where the mesh of the nodes of the spline is chosen displaced relative to the mesh of the initial data. Conditions are established for the local form preservation by the spline of the initial data. We study the approximative properties of the method for the case of the simplest local approximation formula and find the optimal values of the displacement parameters.
Key words:
local spline-approximation, displaced data, Schoenberg approximation.
Received: 09.03.2011
Citation:
Yu. S. Volkov, E. V. Strelkova, V. T. Shevaldin, “Local approximation by splines with displacement of nodes”, Mat. Tr., 14:2 (2011), 73–82; Siberian Adv. Math., 23:1 (2013), 69–75
Linking options:
https://www.mathnet.ru/eng/mt216 https://www.mathnet.ru/eng/mt/v14/i2/p73
|
Statistics & downloads: |
Abstract page: | 749 | Full-text PDF : | 313 | References: | 82 | First page: | 9 |
|