MEAN-SQUARE APPROXIMATION BY GENERALIZED RATIONAL FUNCTIONS

Abstract

The problem of numerical analysis to which this study is directed is that of determining an optimum approximation (in the least squares sense) to a given function f by a function of the form p/q, where p and q are confined to certain prescribed linear spaces. The analogous approximation problem employing the uniform norm has received much recent attention. To our knowledge no investigation of the present problem has appeared.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1966
Accession Number
AD0636041

Entities

People

  • A. A. Goldstein
  • E. W. Chaney

Tags

DTIC Thesaurus Topics

  • Air Force
  • Algebra
  • Algorithms
  • Calculus
  • Complex Variables
  • Equations
  • Functions (Mathematics)
  • Inequalities
  • Integrals
  • Linear Algebra
  • Mathematical Analysis
  • Mathematics
  • Numerical Analysis
  • Polynomials
  • Rational Functions
  • Scientific Research
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design

Technology Areas

  • Space