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