
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