In this paper, we present the best possible parameters α_1, α_2, α_3 and β_1,β_2, β_3 such that the double inequalities hold for all a,b>0 with a ≠ b, where G(a, b) = √ab, C(a, b) = (a~2 + b~2) /(a + b) and T(a, b) = 2 f_0~(π/2) √a~2 cos~2(t) + b~2 sin~2(t)dt/π are the geometric, contraharmonic and T...