Accession Number:

AD0256014

Title:

ASYMPTOTIC PROPERTIES OF POLYNOMIALS WITH AUXILIARY CONDITIONS OF INTERPOLATION

Descriptive Note:

Corporate Author:

HARVARD UNIV CAMBRIDGE MASS

Personal Author(s):

Report Date:

1961-04-01

Pagination or Media Count:

1.0

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 pnzk Ank there exists a sequence of polynomials pnz satisfying these conditions and lim sup max pnz , z on E 1n E, where E is the transfinite diameter of E. Author

Subject Categories:

Distribution Statement:

APPROVED FOR PUBLIC RELEASE