Accession Number : AD0713991

Title :   Approximation with Convex Constraints.

Descriptive Note : Technical rept.,

Corporate Author : BROWN UNIV PROVIDENCE R I DIV OF APPLIED MATHEMATICS

Personal Author(s) : Lewis,James T.

Report Date : AUG 1970

Pagination or Media Count : 48

Abstract : The basic problem considered in this paper is the approximation of a given function in a normed linear space by simpler functions in a finite dimensional linear subspace which also satisfy certain constraints, or side conditions. A satisfactory study of a specific problem would include the existence and uniqueness of a best approximation, some distinguishing property which characterizes a best approximation, and algorithms for computing numerically a best approximation. The most intuitively appealing and complete results are obtained when the measure of approximation is the uniform norm. (Author)

Descriptors :   (*FUNCTIONS(MATHEMATICS), *APPROXIMATION(MATHEMATICS)), CONVEX SETS, POLYNOMIALS, INTERPOLATION, THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE