An Optimal Double Inequality among the One-Parameter, Arithmetic and Geometric Means ()
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ABSTRACT
In the present paper, we answer the question: for 0< a <1 fixed, what are the greatest value p(a)
and the least value q(a) such that the double inequality Jp(a,b)< aA(a,b)+ (1-a)G(a,b)<Jq(a,b)
holds for all a,b>0 with a is not equal to b ?
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