Note on the Carleman's inequality and Hardy's inequality
In this article, using the properties of power mean and induction, new strengthened Carlernan's inequality and Hardy's inequality are obtained. We also give an answer to the conjectures proposed by X. Yang in the literature Yang (2001) [5]. (C) 2009 Elsevier Ltd. All rights reserved.
carleman's inequality hardy's inequality hardy-littlewood's inequality