Open AccessA Sharp Double Inequality between Harmonic and Identric Means
Author(s) -
YuMing Chu,
Miao-Kun Wang,
Zikui Wang
Publication year - 2011
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2011/657935
Subject(s) - mathematics , combinatorics , value (mathematics) , inequality , harmonic , mathematical analysis , statistics , physics , quantum mechanics
We find the greatest value p and the least value q in (0,1/2) such that the double inequality H(pa+(1-p)b,pb+(1-p)a)0 with a≠b. Here, H(a,b), and I(a,b) denote the harmonic and identric means of two positive numbers a and b, respectively
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