Affiliation:
1. Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China
2. Department of Mathematics, Hangzhou Normal University, Hangzhou 310012, China
Abstract
We find the greatest valuepand the least valueqin(0,1/2)such that the double inequalityH(pa+(1-p)b,pb+(1-p)a)<I(a,b)<H(qa+(1-q)b,qb+(1-q)a)holds for alla,b>0witha≠b. Here,H(a,b), andI(a,b)denote the harmonic and identric means of two positive numbersaandb, respectively.
Funder
National Natural Science Foundation of China
Subject
Applied Mathematics,Analysis
Cited by
10 articles.
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