摘要
利用Gram矩阵的正定性和Bernoulli不等式得到Holder不等式的一个加强的结果.由此建立了Hardy-Hilbert重级数定理的一个改进.特别,当p=2时,得到了经典的Hilbert重级数定理的一个很强的结果.
A strengthened result of Holder＇s inequality is attained by means of the positive definiteness of the Gram matrix and Bernoulli＇s inequality. Based on this,a refinement of Hard y-Hilbert＇s theorem for double series is built. In particular,for case p= 2,a quite sharp result of the classical Hilbert theorem for double series is obtained.
出处
《数学理论与应用》
2007年第1期27-29,共3页
Mathematical Theory and Applications
基金
湖南省教育厅资助科研项目
