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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao zbMATH Openarrow_drop_down
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SIAM Journal on Mathematical Analysis
Article . 1974 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.1137/050...
Article
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A Harmonic Mean Inequality for the Gamma Function

A harmonic mean inequality for the gamma function
descriptionPublicationkeyboard_double_arrow_right Article 01 Apr 1974 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 5, pages 278-281 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: Gautschi, Walter;

doi: 10.1137/0505030

A Harmonic Mean Inequality for the Gamma Function

Abstract

We prove that the harmonic mean of $\Gamma (x)$ and $\Gamma (1/ x)$ is greater than or equal to $\Gamma (1) = 1$ for arbitrary $x > 0$.

Keywords

Other analytical inequalities, Gamma, beta and polygamma functions

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    influence
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selected citations
These citations are derived from selected sources.
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!
22
Top 10%
Top 10%
Average
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