Accession Number : AD0778477

Title :   A Theorem on Interpolation in Haar Subspaces,

Corporate Author : TEXAS UNIV AUSTIN CENTER FOR NUMERICAL ANALYSIS

Personal Author(s) : Kilgore,T. A. ; Cheney,E. W.

Report Date : JAN 1974

Pagination or Media Count : 18

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.

Descriptors :   *Interpolation, Vector spaces, Theorems

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE