On new extensions of Hilbert's inequality |
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Authors: | Bicheng Yang |
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Institution: | (1) Department of Mathematics, Guangdong Education College Guangzhou, Guangdong, 510303, P. R. China |
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Abstract: | By introducing three parameters A, B and α, and estimating the weight coefficient, we give a new extension of Hilbert's inequality with a best constant factor involving
the β function. As applications, we consider the equivalent form and some particular results.
This revised version was published online in June 2006 with corrections to the Cover Date. |
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Keywords: | Hardy-Hilbert's inequality weight coefficient H?lder's inequality |
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