Abstract
In this paper, we find the greatest values α , λ and the least values β , μ such that the double inequalities α(5A(a,b)/6 + H(a,b)/6 )+( 1 − α)A5/6(a,b)H1/6(a,b) 0 with ab .H ereA(a,b), H(a,b), Q(a,b), P(a,b) and T(a,b) denote the arithmetic, harmonic, quadratic, first Seiffert and second Seiffert means of two positive numbers a and b, respectively.
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