A new inequality similar to Hilbert's inequality

Volume 3, Issue 5, 2002

Article 75

A NEW INEQUALITY SIMILAR TO HILBERT'S INEQUALITY

DEPARTMENT OF MATHEMATICS
GUANGDONG EDUCATION COLLEGE
GUANGZHOU, GUANGDONG 510303
PEOPLE'S REPUBLIC OF CHINA
E-Mail: bcyang@pub.guangzhou.gd.cn

Received 17 May 2001; Accepted 17 June, 2002.
Communicated by: J.E. Pecaric

ABSTRACT. In this paper, we build a new inequality similar to Hilbert's inequality with a best constant factor. As an application, we consider its equivalent form.

Key words:
Hilbert's inequality, Weight coefficient, Cauchy's inequality.

2000 Mathematics Subject Classification:
26D15.

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