Accession Number : AD0256014

Title :   ASYMPTOTIC PROPERTIES OF POLYNOMIALS WITH AUXILIARY CONDITIONS OF INTERPOLATION

Corporate Author : HARVARD UNIV CAMBRIDGE MASS

Personal Author(s) : WALSH,J.L.

Report Date : APR 1961

Pagination or Media Count : 1

Abstract : Let a closed bounded point set E be given in the z-plane. Necessary and sufficient conditions are found for validity of the following: given assigned conditions of interpolation in a finite number of points: pn(zk) = Ank; there exists a sequence of polynomials pn(z) satisfying these conditions and lim sup max pn(z) , z on E 1/n = (E), where (E) is the transfinite diameter of E. (Author)

Descriptors :   *POLYNOMIALS, *SERIES(MATHEMATICS), MATHEMATICS

Distribution Statement : APPROVED FOR PUBLIC RELEASE