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https://dx.doi.org/10.1155/201...
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Claim

Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean

Sharp bounds for Seiffert mean in terms of contraharmonic mean
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 27 Dec 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Chu, Yu-Ming; Hou, Shou-Wei;

doi: 10.1155/2012/425175

Sharp Bounds for Seiffert Mean in Terms of Contraharmonic Mean

Abstract

We find the greatest valueαand the least valueβin (1/2, 1) such that the double inequalityC(αa+ (1 −α)b,αb+ (1 −α)a) <T(a,b) <C(βa+ (1 −β)b,βb+ (1 −β)a) holds for alla,b> 0 witha≠b. Here,T(a,b) = (a−b)/[2 arctan((a−b)/(a+b))] andC(a,b) = (a2+b2)/(a+b) are the Seiffert and contraharmonic means ofaandb, respectively.

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Keywords

convex combination, QA1-939, Inequalities involving other types of functions, Mathematics, Means

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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!
8
Average
Top 10%
Average
gold