Open AccessSign changes in linear combinations of derivatives and convolutions of Polya frequency functions
Author(s) -
Steven Nahmias,
Frank Proschan
Publication year - 1979
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171279000090
Subject(s) - mathematics , sign (mathematics) , combinatorics , variation (astronomy) , discrete mathematics , pure mathematics , mathematical analysis , physics , astrophysics
We obtain upper bounds on the number of sign changes of linearcombinations of derivatives and convolutions of Polya frequency functions using the variation diminishing properties of totally positive functions. These constitute extensions of earlier results of Karlin and Proschan
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