ASYMPTOTIC ESTIMATES OF THE L2 N-WIDTH.

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.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0657574

Entities

People

  • Joseph W. Jerome

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Inequalities

Fields of Study

  • Mathematics

Readers

  • Analytical Mechanics
  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.