科研之友
微信
新浪微博
Facebook
分享链接
摘要
In order to provide an alternative proof to an inequality of Hilbert, Hardy proved
Sigma(infinity)(n=0) ((n+1)(-1) Sigma(n)(n=0) x(k))(p) <= (p/p-1)(p) Sigma(infinity)(n=0) x(n)(p).
This inequality and its relatives triggered research activity concerning norm inequalities including new inequalities by Copson and Levinson. In this paper, three theorems are established from which related inequalities of Hardy, Copson, and Levinson and various extensions are deduced as corollaries.
- 出版日期2015-6
