A Dual Hardy-Hilbert's Inequality and Generalizations
Received:March 28, 2005  Revised:July 19, 2005
Key Words: Hardy-Hilbert's inequality   dual   weight coefficient   H\"{o}lder's inequality   $\beta$ function.  
Fund Project:the Emphases Natural Science Foundation of Guangdong Institutions of Higher Learing, College and University (05Z026); the Professor and Doctor Foundation of Guangdong Education Institute.
Author NameAffiliation
YANG Bi-cheng Department of Mathematics, Guangdong Institute of Education, Guangdong 510303, China 
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Abstract:
      This paper gives a dual Hardy-Hilbert's inequality with a best constant factor, which is a new extension of Hilbert's inequality with $(p, q)$-parameter form. We also consider its more extended form and an equivalent inequality with a single parameter.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.04.020
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