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

Inequalities between Arithmetic‐Geometric, Gini, and Toader Means

Inequalities between arithmetic-geometric, Gini, and Toader means
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 Dec 2011 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,012 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Chu, Yu-Ming; Wang, Miao-Kun;

doi: 10.1155/2012/830585

Inequalities between Arithmetic‐Geometric, Gini, and Toader Means

Abstract

We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities and hold for all a, b > 0 with a ≠ b and present some new bounds for the complete elliptic integrals. Here M(a, b), T(a, b), and Sp(a, b) are the arithmetic‐geometric, Toader, and pth Gini means of two positive numbers a and b, respectively.

Related Organizations
Keywords

QA1-939, Inequalities for sums, series and integrals, Mathematics

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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!
23
Top 10%
Top 10%
Average
gold