Accession Number : AD0737249

Title :   Best Rational Approximation and Strict Quasi-Convexity.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Barrodale,I.

Report Date : DEC 1971

Pagination or Media Count : 13

Abstract : It is shown that any minimax rational approximation problem defines a strictly quasi-convex function with the property that a best approximation (if one exists) is a minimum of that function. The same result is not true in general for best rational approximation in other norms. (Author)

Descriptors :   (*APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS)), CONVEX SETS, MATHEMATICAL PROGRAMMING, MINIMAX TECHNIQUE, THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE