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

Research output: Contribution to journalComment/debate

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 - Jan 1 1994

Fingerprint

Spline Functions
Splines
Knot
Polynomial Splines
Alternation
Approximation Problem
Polynomial function
Polynomials

All Science Journal Classification (ASJC) codes

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

Cite this

A Second-Order Property of Spline Functions with One Free Knot. / Kawasaki, Hidefumi.

In: Journal of Approximation Theory, Vol. 78, No. 2, 01.01.1994, p. 293-297.

Research output: Contribution to journalComment/debate

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