FIXED ERROR, PIECEWISE-LINEAR UNIFORM APPROXIMATION OF FUNCTIONS.

Abstract

A method is described which allows one to determine segments of an interval where a given function can be approximated by a line with maximum absolute error less than a prespecified quantity delta. If the function to be approximated is convex or concave, then the proposed procedure gives the minimum number of segments. For other functions it gives results which are closer to the minimum than the estimates based on the remainder formula. The method is very easy to implement on a computer. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0688521

Entities

People

  • Theodosios Pavlidis

Organizations

  • Princeton University

Tags

DTIC Thesaurus Topics

  • Computers
  • Intervals

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.