Article ID Journal Published Year Pages File Type
4620703 Journal of Mathematical Analysis and Applications 2008 8 Pages PDF
Abstract

Let E be a subset of R. We say that is an E-Pólya frequency function if the kernel f(u−x) is totally positive on E×R and f is integrable on R. In this paper, we show that under some conditions on E, an E-Pólya frequency function is a Pólya frequency function. This strengthens Schoenberg's result on Pólya frequency functions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis