... 1.6 hold for all a, b > with a / b Main Results Firstly, we present the optimal convex combination bounds of contraharmonic and geometric means for Seiffert’s mean as follows Theorem 2.1 The double ... implies that for any β1 < 1/π there exists X β1 C t2 , 2.22 β1 π < X β1 > such that − β1 G t2 , < P t2 , 2.23 for t ∈ X, ∞ Secondly, we present the optimal convex combination bounds of the contraharmonic ... M.-K Wang, and G.-D Wang, The optimal convex combination bounds of arithmetic and harmonic means for the Seiffert’s mean,” Journal of Inequalities and Applications, Article ID 436457, pages, 2010...