A Hilbert-type integral inequality with the homogeneous kernel of - 4-order
By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order and the equivalent form is given. It is proved that the constant factor is the best. The reverse inequalities and some particular results are...
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| Published in | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 36; no. 1; pp. 12 - 16 |
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| Main Author | |
| Format | Journal Article |
| Language | Chinese |
| Published |
Zhejiang University Press
01.01.2009
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-9497 |
| DOI | 10.3785/j.issn.1008-9497.2009.01.003 |
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| Abstract | By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order and the equivalent form is given. It is proved that the constant factor is the best. The reverse inequalities and some particular results are given for application. |
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| AbstractList | 通过引入双参数及应用权函数的方法,建立一个核为-4齐次的Hilbert型积分不等式及等价式,并证明其常数因子为最佳值.作为应用,给出其逆向形式及一些特殊结果. By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order and the equivalent form is given. It is proved that the constant factor is the best. The reverse inequalities and some particular results are given for application. |
| Author | Ge, Xiao-Kui |
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| Snippet | By introducing two parameters and using the way of weight function, a Hilbert-type integral inequality is established with the homogeneous kernel of - 4-order... 通过引入双参数及应用权函数的方法,建立一个核为-4齐次的Hilbert型积分不等式及等价式,并证明其常数因子为最佳值.作为应用,给出其逆向形式及一些特殊结果. |
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| SubjectTerms | hilbert型积分不等式 最佳常数因子 权函数 等价式 |
| Title | A Hilbert-type integral inequality with the homogeneous kernel of - 4-order |
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