... 3.3 and 3.4 in the following. In order to compress the length of the paper, the proof for Corollaries 3.3 and 3.4 are here omitted.6 Journal of Inequalities and ApplicationsIf (2.6) takes the ... Yang and T. M. Rassias, “On the way of weight coefficient and research for the Hilbert- typeinequalities,” Mathematical Inequalities & Applications, vol. 6, no. 4, pp. 625–658, 2003.W. Zhong and ... (3.12)W. Zhong and B. Yang 9In view of (2.22 )and( 2.23), we find C<Cα,λ,n(s)+o(1), and then C ≤ Cα,λ,n(s)(ε → 0+).Hence the constant C= Cα,λ,n(s) is the best possible.(2) Setting g(y)=ypλ/s−nα(Rn+K(x,...