A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式)
引入Γ-函数等特殊函数，利用权函数方法和实分析技巧，建立一个核为双曲正割函数的Hilbert型积分不等式及其等价式，证明了它们的常数因子是最佳值，并通过取特殊的参数值，得到一些有意义的结果.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2013-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2013.03.003 |
| _version_ | 1797236092297019392 |
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| author | LIUQiong(刘琼) LONGShun-chao(龙顺潮) |
| author_facet | LIUQiong(刘琼) LONGShun-chao(龙顺潮) |
| author_sort | LIUQiong(刘琼) |
| collection | DOAJ |
| description | 引入Γ-函数等特殊函数，利用权函数方法和实分析技巧，建立一个核为双曲正割函数的Hilbert型积分不等式及其等价式，证明了它们的常数因子是最佳值，并通过取特殊的参数值，得到一些有意义的结果. |
| first_indexed | 2024-04-24T16:58:21Z |
| format | Article |
| id | doaj.art-fd75c98552a24ed5932be8af8945e40f |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:58:21Z |
| publishDate | 2013-05-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-fd75c98552a24ed5932be8af8945e40f2024-03-29T01:58:31ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972013-05-0140325525910.3785/j.issn.1008-9497.2013.03.003A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式)LIUQiong(刘琼)0LONGShun-chao(龙顺潮)1 1. Department of Science and Information Science, Shaoyang University, Shaoyang 422000, Hunan Province, China( 1.邵阳学院 理学与信息科学系，湖南 邵阳 422000) 2. Department of Mathematics, Xiangtan University, Xiangtan 411105, Hunan Province, China( 2.湘潭大学 数学系，湖南 湘潭 411105)引入Γ-函数等特殊函数，利用权函数方法和实分析技巧，建立一个核为双曲正割函数的Hilbert型积分不等式及其等价式，证明了它们的常数因子是最佳值，并通过取特殊的参数值，得到一些有意义的结果.https://doi.org/10.3785/j.issn.1008-9497.2013.03.003hilbert型积分不等式权函数最佳常数因子γ-函数hölder不等式 |
| spellingShingle | LIUQiong(刘琼) LONGShun-chao(龙顺潮) A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) Zhejiang Daxue xuebao. Lixue ban hilbert型积分不等式 权函数 最佳常数因子 γ-函数 hölder不等式 |
| title | A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) |
| title_full | A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) |
| title_fullStr | A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) |
| title_full_unstemmed | A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) |
| title_short | A Hilbert-type integral inequality with the kernel of hyperbolic secant function(一个核为双曲正割函数的Hilbert型积分不等式) |
| title_sort | hilbert type integral inequality with the kernel of hyperbolic secant function 一个核为双曲正割函数的hilbert型积分不等式 |
| topic | hilbert型积分不等式 权函数 最佳常数因子 γ-函数 hölder不等式 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2013.03.003 |
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