Authors

• B. Yang ¹
• Th. M. Rassias ²

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

² Department of Mathematics, National Technical University of Athens, Zografou, Campus 15780 Athens, Greece

Abstract

In this paper, we provide a short account of the study of Hilbert-type inequalities during the past almost 100 years by introducing multi-parameters and using the method of weight coefficients. A basic theorem of Hilbert-type inequalities with the homogeneous kernel of −$\lambda$−degree and parameters is proved.

Keywords

• Hilbert-type inequality
• weight coefficient
• parameter
• kernel
• operator