Error Bounds for Integro Quadratic Spline Interpolation in the Mean and Superconvergence Points Full article
| Journal |
Doklady Mathematics
ISSN: 1064-5624 , E-ISSN: 1531-8362 |
||
|---|---|---|---|
| Output data | Year: 2025, Volume: 111, Number: 3, Pages: 172–174 Pages count : 3 DOI: 10.1134/S106456242570019X | ||
| Tags | integro quadratic spline, cubic spline, interpolation error bounds, superconvergence, interpolation in the mean | ||
| Authors |
|
||
| Affiliations |
|
Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0015 |
Abstract:
The problem of interpolation in the mean of a function by an integro quadratic spline given integrally averaged function values is considered. It is shown that an integro quadratic spline can be defined via a
cubic interpolation spline. Since cubic interpolation splines have been studied quite well, well-known error
bounds for them and some of their properties can be transferred to integro quadratic splines. Points of superconvergence of integro splines are found, i.e., points at which a spline or its derivatives provide a higher order
of approximation.
Cite:
Volkov Y.S.
Error Bounds for Integro Quadratic Spline Interpolation in the Mean and Superconvergence Points
Doklady Mathematics. 2025. V.111. N3. P.172–174. DOI: 10.1134/S106456242570019X WOS Scopus OpenAlex
Error Bounds for Integro Quadratic Spline Interpolation in the Mean and Superconvergence Points
Doklady Mathematics. 2025. V.111. N3. P.172–174. DOI: 10.1134/S106456242570019X WOS Scopus OpenAlex
Original:
Волков Ю.С.
Оценки погрешности интерполяции в среднем интегральными квадратическими сплайнами и точки суперсходимости
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2025. Т.523. №1. С.31-34. DOI: 10.31857/S2686954325030063 РИНЦ
Оценки погрешности интерполяции в среднем интегральными квадратическими сплайнами и точки суперсходимости
Доклады Академии наук. Серия: Математика, информатика, процессы управления. 2025. Т.523. №1. С.31-34. DOI: 10.31857/S2686954325030063 РИНЦ
Dates:
| Submitted: | Feb 20, 2025 |
| Accepted: | Apr 30, 2025 |
| Published print: | Dec 9, 2025 |
| Published online: | Dec 9, 2025 |
Identifiers:
| ≡ Web of science: | WOS:001635416500009 |
| ≡ Scopus: | 2-s2.0-105024541539 |
| ≡ OpenAlex: | W4417162854 |