On further strengthened Hardy-Hilbert's inequality

摘要

We obtain an inequality for the weight coefficientω(q,n)(q>1,1/q+1/q=1,n∈?) in theformω(q,n)=:∑m=1∞(1/(m+n))(n/m)1/q<π/sin(π/p)?1/(2n1/p+(2/a)n?1/q)where0