Accession Number : AD0649078

Title :   ON APPROXIMATION OF ANALYTIC FUNCTIONS ON DOMAINS WITH SMOOTH BOUNDARY.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Dzyadyk,V. K. ; Galan,D. M.

Report Date : NOV 1966

Pagination or Media Count : 26

Abstract : For a function defined on a bounded region of the complex plane with smooth boundary it is shown how to construct a sequence of approximating polynomials so that the closeness of approximation depends on the modulus of smoothness of the approximated function.

Descriptors :   (*BOUNDARY VALUE PROBLEMS, MAPPING(TRANSFORMATIONS)), (*APPROXIMATION(MATHEMATICS), BOUNDARY VALUE PROBLEMS), ANALYTIC FUNCTIONS, THEOREMS, CONFORMAL MAPPING, TRANSFORMATIONS(MATHEMATICS), POLYNOMIALS, INEQUALITIES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE