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参量化的Hardy-Hilbert型积分不等式的改进

Improvement of Hardy-Hilbert's Type Integral Inequality with Some Parameters
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摘要 利用改进了的Hlder不等式对带参数的Hardy-Hilbert型积分不等式作了进一步的改进,建立了一些新的不等式. Hardy-Hilbert's type integral inequality with parameters is investigated. Some improvements of Hardy-Hilbert's integral inequality are given by means of a sharpening of Holder's inequality. Some new inequalities are established.
出处 《吉首大学学报(自然科学版)》 CAS 2009年第6期29-31,共3页 Journal of Jishou University(Natural Sciences Edition)
关键词 HARDY-HILBERT型积分不等式 Hlder不等式 权函数 Β函数 Hardy-Hilbert' s type integral inequality Ho der' s inequality weight function β function
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参考文献6

  • 1贺乐平,高明哲,贾维剑.On a New Strengthened Hardy-Hilbert's Inequality[J].Journal of Mathematical Research and Exposition,2006,26(2):276-282. 被引量:13
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二级参考文献7

  • 1HARDY G H, LITTLEWOOD J E, POLYA G. Inequalities [M]. Cambridge Univ. Press, Cambridge, UK.1952.
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  • 6GAO Ming-zhe, WEI Shang-rong, HE Le-ping. On the Hilbert inequality with weights [J].Zeitschrift fur Analysis und ihre Anwendungen, 2002, 21(1): 257-263.
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