By means of the weight functions,the idea of introducing parameters and the method of real analysis,a new Hardy-Hilbert-type integral inequality with the homogeneous kernel as 1/(x+y)λ+2n(λ＞0)involving the de-rivative functions of n-order is established.The equivalent statements of the best possible constant factor related to several parameters are proved,and some particular(λ1=λ/r,λ2=λ/s(r＞1,1/r+1/s=1);λ=1,r=q,s=p)in-equalities are gived.
关键词
权函数/Hardy-Hilbert型积分不等式/n阶导函数/贝塔函数
Key words
weight function/Hardy-Hilbert-type integral inequality/derivative function of n-order/Beta function
维普
万方数据