On the Generalized Euler-Frobenius Polynomial.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
Pagination or Media Count:
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.
- Statistics and Probability