Document Type : Research Paper

Authors

• B. Yang ¹
• G. M. Rassias ²
• Th. M. Rassias ³

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

• Hardy-Littlewood’s inequality
• weight coefficient
• Holder’s inequality
• best constant factor