一个联系特殊函数的多参数Hilbert型积分不等式 |
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作者姓名: | 黄琳 刘琼 |
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作者单位: | 1.长沙师范学院师范预科部, 长沙 410100;2.邵阳学院理学与信息科学系, 湖南 邵阳 422000 |
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基金项目: | 国家自然科学基金(11171280)和湖南省教育厅科学研究项目(10C1186)资助 |
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摘 要: | 利用权函数方法和实分析及泛函技巧,引入一些特殊函数联合刻划常数因子,建立一个多参数Hilbert型积分不等式,考虑它的等价式,证明它们的常数因子是最佳的.作为应用,通过选取特殊的参数值,得到一些有意义的结果.
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关 键 词: | Hilbert型积分不等式 权函数 最佳常数因子 特殊函数 |
收稿时间: | 2016-01-08 |
修稿时间: | 2016-03-26 |
A multi-parameter Hilbert-type integral inequality related to special functions |
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Authors: | HUANG Lin LIU Qiong |
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Institution: | 1.Preparatory Department of Junior Education, Changsha Normal University, Changsha 410100, China;2.Department of Science and Information, Shaoyang University, Shaoyang 422000, Hunan, China |
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Abstract: | By using the method of weight function and the techniques of real analysis and functional analysis and by introducing some special functions to jointly score the constant factor, a Hilbert-type integral inequality with multi-parameters is given. Its equivalent form is considered, and their constant factor is proved to be the best. Some meaningful results are obtained by choosing the special parameter values. |
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Keywords: | Hilbert-type integral inequality weight function the best constant factor special function |
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