A Note on the Approximation of Functions of Several Variables by Sums of Functions of One Variable.

Abstract

For a class of functions of several variables, which contains the continuous functions, we show that there exists a sum of functions of one variable that minimizes the distance from the given function to the space of such sums. For functions of two variables we show that such a minimizing sum may be constructed by an iterative scheme. (Author)

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1978
Accession Number
ADA063970

Entities

People

  • Carl Timothy Kelley

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Banach Space
  • Contracts
  • Mathematical Analysis
  • Mathematics
  • Measure Theory
  • Military Research
  • North Carolina
  • Numbers
  • Real Numbers
  • Security
  • Sequences
  • Theorems
  • Universities
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.

Technology Areas

  • Space