Approximation with Exponential Sums.

Abstract

One major accomplishment has been the devising of a very general theory for establishing the existence of a best approximation to an arbitrary function by an exponential sum of a given order. A second result was the creation of a mathematical theory and workable numerical methods for constructing best Chebyshev, least mean, and least squares approximations for a given completely monotonic function by sums of exponentials. Finally, the compilation and publication of a bibliograph for approximation with exponential sums by the principal investigator will undoubtedly be of enormous value to others working in this area.

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Document Details

Document Type
Technical Report
Publication Date
Feb 28, 1979
Accession Number
ADA071122

Entities

People

  • David W. Kammler

Organizations

  • Southern Illinois University Carbondale

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Air Force Facilities
  • Algorithms
  • Applied Mathematics
  • Biological Phenomena
  • Chebyshev Approximations
  • Differential Equations
  • Equations
  • Error Analysis
  • Illinois
  • Mathematics
  • New Mexico
  • New York
  • Scientific Research
  • Universities

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Systems Analysis and Design
  • Theoretical Analysis.