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

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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.

Original languageEnglish
Pages (from-to)973-983
Number of pages11
JournalSiberian Mathematical Journal
Volume60
Issue number6
DOIs
Publication statusPublished - 1 Nov 2019

Keywords

  • conditionality
  • construction algorithm
  • convergence
  • interpolation
  • norm of a projector
  • Subbotin spline of even degree

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