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Zapiski Nauchnykh Seminarov POMI, 2019, Volume 482, Pages 220–230
(Mi znsl6838)
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This article is cited in 3 scientific papers (total in 3 papers)
Quadratic minimal splines with multiple nodes
E. K. Kulikov, A. A. Makarov Saint Petersburg State University
Abstract:
The paper studies quadratic minimal splines on nonuniform grids with multiple nodes on a closed interval. Asymptotic representations for normalized splines are obtained. In dependence of the multiplicity of grid nodes, it is established to which class of continuity the spline functions under consideration belong. The results obtained are illustrated with examples of hyperbolic and trigonometric minimal splines.
Key words and phrases:
minimal splines, hyperbolic splines, frigonometric splines, nonuniformgrids, multiple nodes.
Received: 01.10.2019
Citation:
E. K. Kulikov, A. A. Makarov, “Quadratic minimal splines with multiple nodes”, Computational methods and algorithms. Part XXXII, Zap. Nauchn. Sem. POMI, 482, POMI, St. Petersburg, 2019, 220–230
Linking options:
https://www.mathnet.ru/eng/znsl6838 https://www.mathnet.ru/eng/znsl/v482/p220
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Abstract page: | 119 | Full-text PDF : | 54 | References: | 27 |
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