| 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.
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| 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. |
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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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