A Theorem on Interpolation in Haar Subspaces,

Abstract

The purpose of the note is to answer an old question about the Lagrange interpolation process. The authors prove here that in interpolation by polynomials of degree n, it is possible to select the n+1 nodes of interpolation in such a way that the resulting Lebesgue function exhibits n+2 maxima of equal amplitude. The authors actually establish this theorem for almost arbitrary Haar subspaces.

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1974
Accession Number
AD0778477

Entities

People

  • E. W. Cheney
  • T. A. Kilgore

Organizations

  • University of Texas at Austin

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Intensity
  • Interpolation
  • Mathematics
  • Polynomials

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.