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Title: | Local approximation by splines with displacement of nodes |
Authors: | Shevaldin, V. T. Strelkova, E. V. Volkov, Y. S. |
Issue Date: | 2013 |
Citation: | Shevaldin V. T. Local approximation by splines with displacement of nodes / V. T. Shevaldin, E. V. Strelkova, Y. S. Volkov // Siberian Advances in Mathematics. — 2013. — Vol. 23. — № 1. — P. 69-75. |
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. © 2013 Allerton Press, Inc. |
Keywords: | DISPLACED DATA LOCAL SPLINE-APPROXIMATION SCHOENBERG APPROXIMATION |
URI: | http://elar.urfu.ru/handle/10995/27202 |
RSCI ID: | 20431759 |
SCOPUS ID: | 84874530220 |
PURE ID: | 913477 |
ISSN: | 1055-1344 |
DOI: | 10.3103/S1055134413010069 |
Appears in Collections: | Научные публикации ученых УрФУ, проиндексированные в SCOPUS и WoS CC |
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