Pólya peaks and the oscillation of positive functions

Drasin, David; Shea, Daniel F.

doi:10.1090/S0002-9939-1972-0294580-X

Pólya peaks and the oscillation of positive functions
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by David Drasin and Daniel F. Shea

Proc. Amer. Math. Soc. 34 (1972), 403-411

DOI: https://doi.org/10.1090/S0002-9939-1972-0294580-X

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Abstract:

A new proof is given of the existence of Pólya peaks of an (increasing) function $g(t)$. This approach yields several applications, including a characterization of those p for which g can have peaks of order p.

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