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Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

Optimal lower generalized logarithmic mean bound for the Seiffert mean
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2013 English Publisher:WileyJournal:Journal of Applied Mathematics, volume 2,013, pages 1-5 (issn: 1110-757X, eissn: 1687-0042, Copyright policy )
Authors: Song, Ying-Qing; Qian, Wei-Mao; Jiang, Yun-Liang; Chu, Yu-Ming;

doi: 10.1155/2013/273653

Optimal Lower Generalized Logarithmic Mean Bound for the Seiffert Mean

Abstract

We present the greatest valuepsuch that the inequalityP(a,b)>Lp(a,b)holds for alla,b>0witha≠b, whereP(a,b)andLp(a,b)denote the Seiffert andpth generalized logarithmic means ofaandb, respectively.

Related Organizations
Keywords

Seiffert mean, QA1-939, Inequalities for sums, series and integrals, \(p\)th generalized logarithmic mean, 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!
0
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