Accession Number : AD0657574

Title :   ASYMPTOTIC ESTIMATES OF THE L2 N-WIDTH.

Descriptive Note : Technical summary rept.,

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : Jerome,Joseph W.

Report Date : APR 1967

Pagination or Media Count : 27

Abstract : For classes of functions of m variables satisfying a quadratic inequality involving the L sub 2-norm of derivatives up to a given order k, asymptotic estimates are given for the n-widths. They involve upper and lower inequalities of the form ((c/n) to the k/m power) + 0(n to the -k/m power) as n approaches infinity, where ce is a positive constant which can be estimated.

Descriptors :   (*FUNCTIONS(MATHEMATICS), APPROXIMATION(MATHEMATICS)), TRANSFORMATIONS(MATHEMATICS), INEQUALITIES, HILBERT SPACE, BOUNDARY VALUE PROBLEMS, OPERATORS(MATHEMATICS), THEOREMS, THESES

Subject Categories : Theoretical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE