This article is cited in 3 papers

Study of the convergence of interpolation processes with splines of even degree

Yu. S. Volkov<sup>ab

a</sup> Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

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.

UDC: 517.518.85

Received: 30.01.2019
Revised: 15.04.2019
Accepted: 15.05.2019

DOI: 10.33048/smzh.2019.60.605

 English version: Siberian Mathematical Journal, 2019, 60:6, 973–983

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