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On Error Estimates of Local Approximation by Splines Научная публикация

Журнал

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

Вых. Данные

Год: 2020, Том: 61, Номер: 5, Страницы: 795-802 Страниц : 8 DOI: 10.1134/S0037446620050031

Ключевые слова

asymptotic expansion; error estimation; local splines; Schoenberg approximation

Авторы

Volkov Yu.S. ¹ , Bogdanov V.V. ¹

Организации

1	Sobolev Institute of Mathematics, Novosibirsk, Russian Federation

We consider the so-called simplest formula for local approximation by polynomial splines of order n (Schoenberg splines). The spline itself and all derivatives except that of the highest order, approximate a given function and its corresponding derivatives with the second order. We show that the jump of the highest derivative of order n-1; i.e., the value of discontinuity, divided by the meshsize, approximates the n-th derivative of the original function. We found an asymptotic expansion of the jump. © 2020, Pleiades Publishing, Ltd.

Volkov Y.S. , Bogdanov V.V.
On Error Estimates of Local Approximation by Splines
Siberian Mathematical Journal. 2020. V.61. N5. P.795-802. DOI: 10.1134/S0037446620050031 WOS Scopus РИНЦ OpenAlex

Волков Ю.С. , Богданов В.В.
О погрешности приближения простейшей локальной аппроксимацией сплайнами
Сибирский математический журнал. 2020. Т.61. №5. С.1000-1008. DOI: 10.33048/smzh.2020.61.503 РИНЦ MathNet OpenAlex

Web of science:	WOS:000573304200003
Scopus:	2-s2.0-85092101629
РИНЦ:	45246041
OpenAlex:	W3090634687

БД	Цитирований
Scopus	1
Web of science	1
РИНЦ	3
OpenAlex	2