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Applicable Analysis and Discrete Mathematics
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Applicable Analysis and Discrete Mathematics
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A generation method for completely monotone functions

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2019 English Publisher:National Library of SerbiaJournal:Applicable Analysis and Discrete Mathematics, volume 13, pages 883-894 (issn: 1452-8630, eissn: 2406-100X, Copyright policy )
Authors: Julije Jakšetić;

doi: 10.2298/aadm181210040j

A generation method for completely monotone functions

Abstract

In this article we present technique how to produce completely monotone functions using linear functionals and already known families of completely monotone functions. After that, using mean value theorems, we construct means of Cauchy type that have monotonicity properties.

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Keywords

Bernstein functionscompletely monotone functionsexponentially convex functionsn-convex functionspecial functionsLaplace transform

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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