Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4620703 | Journal of Mathematical Analysis and Applications | 2008 | 8 Pages |
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.
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