Inequalities between Arithmetic‐Geometric, Gini, and Toader Means

Yu-Ming Chu and Miao-Kun Wang

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: We find the greatest values p1, p2 and least values q1, q2 such that the double inequalities Sp1(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.

Date: 2012
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https://doi.org/10.1155/2012/830585

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:830585

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