期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：2008
卷号：2008
DOI：10.1155/2008/165089
出版社：Hindawi Publishing Corporation
摘要：This study shows that a refinement of the Hilbert inequality for double series can be established by introducing a real function 𝑢(𝑥) and a parameter 𝜆. In particular, some sharp results of the classical Hilbert inequality are obtained by means of a sharpening of the Cauchy inequality. As applications, some refinements of both the Fejer-Riesz inequality and Hardy inequality in 𝐻𝑝 function are given.
