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