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On the extended Hilbert's inequality |
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| Authors: | Gao Mingzhe Yang Bichen |
| Institution: | Department of Mathematics, Xiangxi Education College for Nationalities, Jishou, Hunan 416000, People's Republic of China Yang Bichen ; Department of Mathematics, Guangdong College of Education, Guangzhou 510303, People's Republic of China |
| Abstract: | In this paper, it is shown that the extended Hilbert's inequality for double series can be refined by the aid of the Euler-Maclaurin summation formula. The extreme cases  and  are discussed. |
| Keywords: | Double series infimum Euler-Maclaurin summation formula |
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