Title of article
On E-Pólya frequency functions
Author/Authors
Michael I. Ganzburg، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2008
Pages
8
From page
1
To page
8
Abstract
Let E be a subset of R. We say that f :R→R 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.
Keywords
Totally positive functionsP?lya frequency functionsZero-increasing transformations
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2008
Journal title
Journal of Mathematical Analysis and Applications
Record number
937355
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