An Approximation of Integrable Functions by Step Functions with an Application.

Abstract

A method of approximating functions which are integrable on (0, infinity) by piecewise constant functions is presented and studied in this paper. The method used and the properties established for it allow one to reduce the study of the convergence of a difference method of theoretical interest for nonlinear time-dependent problems with forcing terms to the simpler study of related problems without forcing terms.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1979
Accession Number
ADA068933

Entities

People

  • A. Pazy
  • M. G. Crandall

Organizations

  • University of Wisconsin–Madison

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Banach Space
  • Calculus
  • Convergence
  • Inequalities
  • Integrals
  • Mathematics
  • Military Research
  • North America
  • North Carolina
  • Sequences
  • Step Functions
  • United States
  • Wisconsin

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis