作 者: ;
机构地区: 大连理工大学数学科学学院数学科学研究所
出 处: 《吉首大学学报》 1997年第3期1-4,共4页
摘 要: 证明了重组数的经典Hilbert重不等式通过引入一个适当的形如π-θ/(θ>0)的权函数可以把两个单独的和都得到改进。借助于Euler—Maclaurin求和公式得到了一个非常强的结果。 It is shown that the classical Hilbert inequality for double seies can be refined by introducing aproper weight function of the form π-θ/(with θ>1) into either of the two single summations. A quitesharp result is attained by the aid of Euler-Maclaurin summation formula for certain infinite series involved.