Optimal Inequalities among Various Means of Two Arguments

[摘要] We establish two optimal inequalities among power mean Mp(a,b)=(ap/2+bp/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)=ab.

[发布日期] 2009-11-10