On a new extension of Hilbert’s inequality with some parameters |
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| Authors: | Bicheng Yang |
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| Institution: | (1) Department of Mathematics, Guangdong Education College, Guangzhou, Guangdong 510303, People’s Republic of China |
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| Abstract: | Summary By introducing some parameters and estimating the weight coefficient, we give a new extension of Hilbert’s inequality with a best constant factor, which involves the β function. As its applications, we consider the equivalent form and some particular results. |
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| Keywords: | weight coefficient Hö lder’ s inequality Hilbert’ s inequality ? function |
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