Abstract
In the paper, we find the greatest values α1, α2, α3, α4 and the least values β1, β2, β3, β4 such that the double inequalities α1A(a, b) + (1− α1)H(a, b) 0 with a 6= b. Here H(a, b), G(a, b), A(a, b), Q(a, b), C(a, b)and N(a, b) denote the classical harmonic, geometric, arithmetic, quadratic, contraharmonic and Neumant means of a and b, respectively. Mathematics Subject Classification: 26E6
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