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On E-Pólya frequency functions

Authors :
Ganzburg, Michael I.
Source :
Journal of Mathematical Analysis & Applications. Oct2008, Vol. 346 Issue 1, p1-8. 8p.
Publication Year :
2008

Abstract

Abstract: Let E be a subset of . We say that is an E-Pólya frequency function if the kernel is totally positive on and f is integrable on . 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. [Copyright &y& Elsevier]

Subjects

Subjects :
*MATHEMATICAL analysis
*KERNEL functions
*COMPLEX variables
*ELLIPTIC functions

Details

Language :
English
ISSN :
0022247X
Volume :
346
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
32664657
Full Text :
https://doi.org/10.1016/j.jmaa.2008.04.070
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