Article ID Journal Published Year Pages File Type
1708907 Applied Mathematics Letters 2012 5 Pages PDF
Abstract

We find the greatest value pp and least value qq in (0,1/2)(0,1/2) such that the double inequality G(pa+(1−p)b,pb+(1−p)a)0a,b>0 with a≠ba≠b. Here, G(a,b)G(a,b), and I(a,b)I(a,b) denote the geometric, and identric means of two positive numbers aa and bb, respectively.

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Physical Sciences and Engineering Engineering Computational Mechanics
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An optimal double inequality between geometric and identric means
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