IJPAM: Volume 57, No. 3 (2009)

ON A HILBERT-TYPE INEQUALITY WITH
A HOMOGENEOUS KERNEL OF REAL NUMBER DEGREE

Bing He
Department of Mathematics
Guangdong Education College
Guangzhou, Guangdong, 510303, P.R. CHINA
e-mail: hzs314@163.com


Abstract.By introducing a homogeneous kernel of real number degree with an independent parameter and estimating the weight coefficient, a bilateral form of the Hilbert-type series inequality with a best constant factor is established.

Received: September 11, 2009

AMS Subject Classification: 26D15

Key Words and Phrases: Hilbert's inequality, weight coefficient, Hölder's inequality

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2009
Volume: 57
Issue: 3