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

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 k th derivative in B-splines is equivalent to the co...

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Bibliographic Details
Published in:Siberian mathematical journal 2019-11, Vol.60 (6), p.973-983
Main Author: Volkov, Yu. S.
Format: Article
Language:English
Subjects:
Acquisitions & mergers
Continuity (mathematics)
Convergence
Interpolation
Mathematical analysis
Mathematics
Mathematics and Statistics
Polynomials
Spline functions
Thermal expansion
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Summary: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 k th derivative in B-splines is equivalent to the convergence of the interpolation process for the k th derivative of the spline in the class of functions with continuous k th derivative.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446619060053