A new restructured Hardy-Littlewood's inequality

Document Type : Research Paper


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


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.