Study of the Convergence of Interpolation Processes with Splines of Even Degree Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2020, Volume: 60, Number: 6, Pages: 973-983 Pages count : 11 DOI: 10.1134/s0037446619060053 | ||||
| Tags | Subbotin spline of even degree, interpolation, construction algorithm, convergence, norm of a projector, conditionality | ||||
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Abstract:
We study the convergence of interpolation processes by Subbotin polynomial splines of even degree. We prove that the good conditionality of a system of equations for constructing an interpolation spline via the coefficients of the expansion of the kth derivative in B-splines is equivalent to the convergence of interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.
Cite:
Volkov Y.S.
Study of the Convergence of Interpolation Processes with Splines of Even Degree
Siberian Mathematical Journal. 2020. V.60. N6. P.973-983. DOI: 10.1134/s0037446619060053 WOS Scopus РИНЦ OpenAlex
Study of the Convergence of Interpolation Processes with Splines of Even Degree
Siberian Mathematical Journal. 2020. V.60. N6. P.973-983. DOI: 10.1134/s0037446619060053 WOS Scopus РИНЦ OpenAlex
Original:
Волков Ю.С.
Изучение сходимости процессов интерполяции для сплайнов чётной степени
Сибирский математический журнал. 2019. Т.60. №6. С.1247-1259. DOI: 10.33048/smzh.2019.60.605 РИНЦ OpenAlex
Изучение сходимости процессов интерполяции для сплайнов чётной степени
Сибирский математический журнал. 2019. Т.60. №6. С.1247-1259. DOI: 10.33048/smzh.2019.60.605 РИНЦ OpenAlex
Identifiers:
| ≡ Web of science: | WOS:000514796900005 |
| ≡ Scopus: | 2-s2.0-85079728478 |
| ≡ Elibrary: | 43251640 |
| ≡ OpenAlex: | W3007269417 |