Bounds for the Combinations of Neuman‐Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean
Zai-Yin He,
Wei-Mao Qian,
Yun-Liang Jiang,
Ying-Qing Song and
Yu-Ming Chu
Abstract and Applied Analysis, 2013, vol. 2013, issue 1
Abstract:
We give the greatest values r1, r2 and the least values s1, s2 in (1/2, 1) such that the double inequalities C(r1a + (1 − r1)b, r1b + (1 − r1)a) 0 with a ≠ b, where A(a, b), M(a, b), C(a, b), and T(a, b) are the arithmetic, Neuman‐Sándor, contraharmonic, and second Seiffert means of a and b, respectively.
Date: 2013
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https://doi.org/10.1155/2013/903982
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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:903982
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