On the Generalized Euler-Frobenius Polynomial.
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.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jun 01, 1980
- Accession Number
- ADA089661
Entities
People
- Feng Yuan
- Joseph P. Kozak
Organizations
- University of Wisconsin–Madison