Accession Number : AD0666196

Title :   SPLINES, N-WIDTHS AND OPTIMAL APPROXIMATIONS.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Golomb,Michael

Report Date : SEP 1967

Pagination or Media Count : 27

Abstract : The Kolmogorov concept of n-width of classes of functions which is based on optimal approximating n-dimensional subspaces is modified to include optimal n-flats. As a special case, splines appear as optimal 0-flats. Applications include the H superscript m-extension problem for functions of a real variable. (Author)

Descriptors :   (*FUNCTIONAL ANALYSIS, APPROXIMATION(MATHEMATICS)), SET THEORY, OPTIMIZATION, HILBERT SPACE, INTERPOLATION, SEQUENCES(MATHEMATICS), CONVERGENCE, MAPPING(TRANSFORMATIONS), OPERATORS(MATHEMATICS), THEOREMS

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE