UNIFORM APPROXIMATION BY TCHEBYCHEFFIAN SPLINE FUNCTIONS. I. FIXED KNOTS.

Abstract

The best approximation (in the uniform norm) of a given continuous function by (Tchebycheffian) spline functions with fixed knots on an interval (a, b) is characterized in terms of an alternating property. The maximal alternator is studied, and uniqueness of the best approximation is precisely determined. Continuity of the best approximation and other related results are also obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0662709

Entities

People

  • L. L. Schumaker

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Alternators
  • Continuity
  • Electric Generators
  • Intervals

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.