An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式)
引入Γ-函数等特殊函数，利用权函数方法和实分析技巧，建立一个具最佳常数的复合核积分不等式.考虑了它的等价式，证明了它们的常数因子是最佳的，并通过取特殊的参数值，得到一些有意义的结果.
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2013-09-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2013.05.005 |
| _version_ | 1797235904021004288 |
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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，建立一个具最佳常数的复合核积分不等式.考虑了它的等价式，证明了它们的常数因子是最佳的，并通过取特殊的参数值，得到一些有意义的结果. |
| first_indexed | 2024-04-24T16:55:22Z |
| format | Article |
| id | doaj.art-456bcfb861f546b58e338557850217d5 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:55:22Z |
| publishDate | 2013-09-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-456bcfb861f546b58e338557850217d52024-03-29T01:58:32ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972013-09-0140550250510.3785/j.issn.1008-9497.2013.05.005An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式)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，建立一个具最佳常数的复合核积分不等式.考虑了它的等价式，证明了它们的常数因子是最佳的，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.1008-9497.2013.05.005hilbert型积分不等式权系数最佳常数因子γ-函数 |
| spellingShingle | LIUQiong(刘琼) LONGShun-chao(龙顺潮) An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) Zhejiang Daxue xuebao. Lixue ban hilbert型积分不等式 权系数 最佳常数因子 γ-函数 |
| title | An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) |
| title_full | An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) |
| title_fullStr | An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) |
| title_full_unstemmed | An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) |
| title_short | An integral inequality with the best constant factor and composite kernel(一个具最佳常数的复合核积分不等式) |
| title_sort | integral inequality with the best constant factor and composite kernel 一个具最佳常数的复合核积分不等式 |
| topic | hilbert型积分不等式 权系数 最佳常数因子 γ-函数 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2013.05.005 |
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