IJPAM: Volume 5, No. 1 (2003)

ON A NEW EXTENSION OF HARDY-HILBERT'S
INEQUALITY AND ITS APPLICATIONS

Bicheng Yang
Department of Mathematics
Guangdong Education College, Guangzhou
Guangzhou 510303, P.R. CHINA
e-mail: bcyang@pub.guangzhou.gd.cn


Abstract.This paper deals with an extension of Hardy-Hilbert's inequality with a best constant factor, which involves the $\beta$ function. As applications, we obtain its equivalent form.

Received: January 8, 2003

AMS Subject Classification: 26D15

Key Words and Phrases: Hardy-Hilbert's inequality, weight coefficient, Holder's inequality, $\beta$ function

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2003
Volume: 5
Issue: 1