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Zapiski Nauchnykh Seminarov POMI, 2016, Volume 453, Pages 198–218
(Mi znsl6379)
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This article is cited in 8 scientific papers (total in 8 papers)
On functionals dual to minimal splines
A. A. Makarov St. Petersburg State University, St. Petersburg, Russia
Abstract:
The paper considers minimal splines of Lagrange type of lower orders, and a system of functionals biorthogonal to the system of minimal coordinate splines is constructed. The results obtained are illustrated on the example of a polynomial generating vector function, which leads to the construction of $B$-splines from the approximation relations.
Key words and phrases:
minimal spline, $B$-spline, biorthogonal system, dual functional, de Boor–Fix functional.
Received: 11.10.2016
Citation:
A. A. Makarov, “On functionals dual to minimal splines”, Computational methods and algorithms. Part XXIX, Zap. Nauchn. Sem. POMI, 453, POMI, St. Petersburg, 2016, 198–218; J. Math. Sci. (N. Y.), 224:6 (2017), 942–955
Linking options:
https://www.mathnet.ru/eng/znsl6379 https://www.mathnet.ru/eng/znsl/v453/p198
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Abstract page: | 556 | Full-text PDF : | 76 | References: | 41 |
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