作 者: ;
机构地区: 广东教育学院
出 处: 《数学学报(中文版)》 2006年第2期363-368,共6页
摘 要: 利用改进的Euler-Maclaurin求和公式,求出一个较为精密的Hardy-Hilbert 型不等式.作为应用,给出它的等价形式及一些特殊结果.本文的引理及定理对研究这一类不等式提供了一些新的估算方法. By using the improved Euler-Maclaurin's summation formula, a more accurate Hardy-Hilbert's type inequality is built. As applications, the equivalent form and some particular results are considered. All the lemmas and the theorem provide some new estimates on this type of inequalities.