Local support bases for a class of spline functions

J. W. Jerome*, L. L. Schumaker

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Bases for a class of splines consisting piecewise of elements in the null space of a linear differential operator L with the component pieces tied smoothly together at the knots by requiring the continuity of certain Extended-Hermite-Birkhoff linear functionals are obtained. In particular, first, certain one-sided splines are constructed as linear combinations of an appropriate Green's function, and then local support splines are constructed as linear combinations of the one-sided splines. Finally, local support bases for a finite-dimensional space of splines are obtained.

Original languageEnglish (US)
Pages (from-to)16-27
Number of pages12
JournalJournal of Approximation Theory
Volume16
Issue number1
DOIs
StatePublished - Jan 1976

ASJC Scopus subject areas

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

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