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Optimal inequalities among various means of two arguments. (English) Zbl 1187.26017
Summary: We establish two optimal inequalities among power mean $$M_p(a,b)= (a^p/2+ b^p/2)^{1/p}$$, arithmetic mean $$A(a,b)= (a+b)/2$$, logarithmic mean $$L(a,b)= (a-b)/(\log a-\log b)$$, and geometric mean $$G(a,b)= \sqrt{ab}$$.

##### MSC:
 2.6e+61 Means
Full Text:
##### References:
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