Accession Number:

ADA071122

Title:

Approximation with Exponential Sums.

Descriptive Note:

Final rept. 1 Mar 74-28 Feb 79,

Corporate Author:

SOUTHERN ILLINOIS UNIV CARBONDALE DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

1979-02-28

Pagination or Media Count:

11.0

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.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE