A Second-Order Property of Spline Functions with One Free Knot

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4 Citations (Scopus)

Abstract

We are concerned with an approximation problem by polynomial spline functions with one free knot. Our main concern is a second-order property of the problem with respect to the knot. We show that every spline function satisfying Braess’s alternation condition is nearly optimal.

Original languageEnglish
Pages (from-to)293-297
Number of pages5
JournalJournal of Approximation Theory
Volume78
Issue number2
DOIs
Publication statusPublished - Aug 1994

All Science Journal Classification (ASJC) codes

  • Analysis
  • Numerical Analysis
  • Mathematics(all)
  • Applied Mathematics

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