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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2023, Volume 63, Number 6, Pages 979–986
DOI: https://doi.org/10.31857/S0044466923060182 (Mi zvmmf11571) 		 
Ordinary differential equations

On Favard local parabolic interpolating splines with additional knots

V. T. Shevaldin

Krasovskii Institute of Mathematics and Mechanics, Ural Branch, Russian Academy of Sciences, 620108, Yekaterinburg, Russia
DOI: https://doi.org/10.31857/S0044466923060182
Abstract: Explicit formulas are given for interpolating parabolic splines on a number line interval constructed by J. Favard in 1940. For approximations by these splines in the Sobolev class $W^2_\infty$ of twice differentiable functions, estimates for the norm of the second derivative and the approximation error in the uniform metric are established.
Key words: interpolation, splines, uniform metrics, divided differences, derivative.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2023-913
This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement no. 075-02-2023-913, and was performed at the Ural Mathematical Center.
Received: 19.04.2022
Revised: 13.12.2022
Accepted: 02.03.2023
English version:
Computational Mathematics and Mathematical Physics, 2023, Volume 63, Issue 6, Pages 1045–1051
DOI: https://doi.org/10.1134/S0965542523060167
Bibliographic databases:
Document Type: Article
UDC: 519.65
Language: Russian
Citation: V. T. Shevaldin, “On Favard local parabolic interpolating splines with additional knots”, Zh. Vychisl. Mat. Mat. Fiz., 63:6 (2023), 979–986; Comput. Math. Math. Phys., 63:6 (2023), 1045–1051
Citation in format AMSBIB
\Bibitem{She23}
\by V.~T.~Shevaldin
\paper On Favard local parabolic interpolating splines with additional knots
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2023
\vol 63
\issue 6
\pages 979--986
\mathnet{http://mi.mathnet.ru/zvmmf11571}
\crossref{https://doi.org/10.31857/S0044466923060182}
\elib{https://elibrary.ru/item.asp?id=53836700}
\transl
\jour Comput. Math. Math. Phys.
\yr 2023
\vol 63
\issue 6
\pages 1045--1051
\crossref{https://doi.org/10.1134/S0965542523060167}
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