A new restructured Hardy-Littlewood's inequality

Document Type : Research Paper

Authors

1 Department of Mathematics, Guangdong Education Institute, and Guangzhou, Guangdong 510303, P. R. China

2 Zagoras St. Paradissos, Amaroussion 15125 Athens, Greece

3 Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece

Abstract

In this paper, we reconstruct Hardy-Littlewood’s inequality by using the method of the weight coefficient and the technic of real analysis including a best constant factor. An open problem is raised.

Keywords

Volume 2, Issue 1 - Serial Number 1
January 2011
Pages 11-20
  • Receive Date: 07 April 2010
  • Revise Date: 02 May 2010
  • Accept Date: 12 May 2010