A NOTE ON NON-LINEAR APPROXIMATION THEORY

Abstract

Recently J. R. Rice ('Approximation of Functions', Elsevier Pub. Co. 1965, p. 111-133) initiated a geometrical study of non-linear approximations. This paper offers a small contribution to certain analytical aspects of mean- square non-linear approximations. One result is to exhibit a family of non- linear topological subspaces of the space C(a,b) with the mean-square metric which has a local unique best approximation property.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1966
Accession Number
AD0640441

Entities

People

  • A. A. Goldstein

Organizations

  • Boeing

Tags

DTIC Thesaurus Topics

  • Continuity
  • Deficiencies
  • Hypotheses
  • Inequalities
  • Sequences
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Library and Information Science
  • Neural Network Machine Learning.
  • Statistical inference.

Technology Areas

  • Space