一个非齐次核的半离散型Hilbert型不等式的改进

摘要

Hilbert型不等式是分析学中的重要不等式。本文利用权函数、实分析技巧以及加强的H&o&lder不等式对半离散的Hilbert型不等式作了改进，建立了一些新的不等式。%Hilbert-type inequality are important in analysis and its applications. In this paper, a half-discrete Hilbert-type inequality is investigated. By using the way of weight functions and the techniuque of real analysis and a sharpening of Hölder’s inequality, some improvements of Hardy-Hilbert’s inequality are given, a few new inequalities are established.