推广Hardy—Hilbert型不等式的改进

On the Improvement of Extended Hardy-Hilbert’s Type Inequality

Hilbert型不等式是分析学中的重要不等式,由于权系数方法的改进及参量化思想的应用,使这一领域的研究有了深入的发展.利用改进了的Hlder不等式对带参数的Hardy-Hilbert型不等式作了进一步的改进,建立了一些新的不等式.

Hilbert type inequalities＇ are important in analysis and its applications. In the past few years, by improving of the weight coefficient and introducing some parameters, a number of new results are founded. In this paper, Hardy-Hilbert＇s type integral inequality with parameters is investigated. Some improvements of Hardy-Hilbert＇s inequality are given by means of a sharpening of Holder＇s inequality. Some new inequalities are established.