Accession Number:

ADA089661

Title:

On the Generalized Euler-Frobenius Polynomial.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1980-06-01

Pagination or Media Count:

17.0

Abstract:

In this paper the properties of the generalized Euler-Frobenius polynomial are studied. It is proved that its zeroes are separated by a factor q and their asymptotic behavior as Q approaches infinity is obtained. As a consequence it is shown that least squares spline approximation on a biinfinite geometric mesh is boundable independently of the local mesh ratio q and that the norm of the inverse of the corresponding B-spline Gram matrix decreases monotonly to 2k - 1 for large q, as Q approaches infinity.

Subject Categories:

  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE