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Study of the Convergence of Interpolation Processes with Splines of Even Degree. / Volkov, Yu S.

In: Siberian Mathematical Journal, Vol. 60, No. 6, 01.11.2019, p. 973-983.

Research output: Contribution to journal › Article › peer-review

Harvard

Volkov, YS 2019, 'Study of the Convergence of Interpolation Processes with Splines of Even Degree', Siberian Mathematical Journal, vol. 60, no. 6, pp. 973-983. https://doi.org/10.1134/S0037446619060053

APA

Volkov, Y. S. (2019). Study of the Convergence of Interpolation Processes with Splines of Even Degree. Siberian Mathematical Journal, 60(6), 973-983. https://doi.org/10.1134/S0037446619060053

Vancouver

Volkov YS. Study of the Convergence of Interpolation Processes with Splines of Even Degree. Siberian Mathematical Journal. 2019 Nov 1;60(6):973-983. doi: 10.1134/S0037446619060053

Author

Volkov, Yu S. / Study of the Convergence of Interpolation Processes with Splines of Even Degree. In: Siberian Mathematical Journal. 2019 ; Vol. 60, No. 6. pp. 973-983.

BibTeX

@article{29f6c563e05f4b408b86ecffd3697466,
title = "Study of the Convergence of Interpolation Processes with Splines of Even Degree",
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 the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.",
keywords = "conditionality, construction algorithm, convergence, interpolation, norm of a projector, Subbotin spline of even degree",
author = "Volkov, {Yu S.}",
year = "2019",
month = nov,
day = "1",
doi = "10.1134/S0037446619060053",
language = "English",
volume = "60",
pages = "973--983",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "6",

}

RIS

TY - JOUR

T1 - Study of the Convergence of Interpolation Processes with Splines of Even Degree

AU - Volkov, Yu S.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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 the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.

AB - 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 the interpolation process for the kth derivative of the spline in the class of functions with continuous kth derivative.

KW - conditionality

KW - construction algorithm

KW - convergence

KW - interpolation

KW - norm of a projector

KW - Subbotin spline of even degree

UR - http://www.scopus.com/inward/record.url?scp=85079728478&partnerID=8YFLogxK

U2 - 10.1134/S0037446619060053

DO - 10.1134/S0037446619060053

M3 - Article

AN - SCOPUS:85079728478

VL - 60

SP - 973

EP - 983

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 23593614