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Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions

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  • Steven Nahmias
  • Frank Proschan

Abstract

We obtain upper bounds on the number of sign changes of linear combinations 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.

Suggested Citation

  • Steven Nahmias & Frank Proschan, 1979. "Sign changes in linear combinations of derivatives and convolutions of Polya frequency functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2, pages 1-11, January.
    • Handle: RePEc:hin:jijmms:689572
    DOI: 10.1155/S0161171279000090
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