Bounds for the Combinations of Neuman-Sándor, Arithmetic, and Second Seiffert Means in terms of Contraharmonic Mean

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)<αA(a,b)+(1-α)T(a,b)<C(s1a+(1-s1)b,s1b+(1-s1)a) and C(r2a+(1-r2)b,r2b+(1-r2)a)<αA(a,b)+(1-α)M(a,b)<C(s2a+(1-s2)b,s2b+(1-s2)a) hold for any α∈(0,1) and al...

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Bibliographic Details
Main Authors: Zai-Yin He, Wei-Mao Qian, Yun-Liang Jiang, Ying-Qing Song, Yu-Ming Chu
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/903982
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