Accession Number : AD0621352

Title :   ESTIMATES FOR THE TRANSFINITE DIAMETER OF A CONTINUUM,

Corporate Author : STANFORD UNIV CALIF DEPT OF MATHEMATICS

Personal Author(s) : Reich,Edgar ; Schiffer,Menahem

Report Date : 24 APR 1964

Pagination or Media Count : 18

Abstract : Some estimates for the transfinite diameter of a continuum are derived in terms of elementary geometric quantities connected with it. The main intention is methodological. Variational methods are applied, and the corresponding extremum continua are described by a functional differential equation. In all cases the determination of the extremum continuum is based on rather simple geometric arguments. It is intended that the arguments used should indicate more general methods of solution which could be applied in the calculus of variations for conformal mappings. (Author)

Descriptors :   (*CONFORMAL MAPPING, GEOMETRY), (*GEOMETRY, CALCULUS OF VARIATIONS), INEQUALITIES, COMPLEX VARIABLES, DIFFERENTIAL EQUATIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE