
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 zplane. 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