Study of the Convergence of Interpolation Processes with Splines of Even Degree | Sciact - Система учета научной деятельности ИМ СО РАН

Study of the Convergence of Interpolation Processes with Splines of Even Degree Научная публикация

Журнал

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Вых. Данные

Год: 2020, Том: 60, Номер: 6, Страницы: 973-983 Страниц : 11 DOI: 10.1134/s0037446619060053

Ключевые слова

Subbotin spline of even degree, interpolation, construction algorithm, convergence, norm of a projector, conditionality

Авторы

Volkov Yu.S. ^1,2

Организации

1	Sobolev Institute of Mathematics
2	Novosibirsk State University, Novosibirsk, Russia

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.

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

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

≡ Web of science:	WOS:000514796900005
≡ Scopus:	2-s2.0-85079728478
≡ РИНЦ:	43251640
≡ OpenAlex:	W3007269417