A new restructured Hardy-Littlewood's inequality

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 the 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