Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广)
通过引入参数，利用实分析技巧，建立最佳常数因子与余割函数有关的Hilbert型积分不等式，推广了与Euler数有关的Hilbert型不等式.作为结论的应用，赋予参数不同的值，给出了一些特殊结果.
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2016-03-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2016.02.004 |
| _version_ | 1797235862715498496 |
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| author | YOUMinghui(有名辉) |
| author_facet | YOUMinghui(有名辉) |
| author_sort | YOUMinghui(有名辉) |
| collection | DOAJ |
| description | 通过引入参数，利用实分析技巧，建立最佳常数因子与余割函数有关的Hilbert型积分不等式，推广了与Euler数有关的Hilbert型不等式.作为结论的应用，赋予参数不同的值，给出了一些特殊结果. |
| first_indexed | 2024-04-24T16:54:42Z |
| format | Article |
| id | doaj.art-f97a3275ae7b4ff2a4a7f41ba9b2c55c |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:54:42Z |
| publishDate | 2016-03-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-f97a3275ae7b4ff2a4a7f41ba9b2c55c2024-03-29T01:58:35ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972016-03-0143214414810.3785/j.issn.1008-9497.2016.02.004Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广)YOUMinghui(有名辉)0https://orcid.org/0000-0002-1993-9558Mathematics Teaching and Research Section, Zhejiang InstituLe of Mechanical and Electrical Engineering, Hangzhou 310053, China(浙江机电职业技术学院数学教研室，浙江 杭州 310053)通过引入参数，利用实分析技巧，建立最佳常数因子与余割函数有关的Hilbert型积分不等式，推广了与Euler数有关的Hilbert型不等式.作为结论的应用，赋予参数不同的值，给出了一些特殊结果.https://doi.org/10.3785/j.issn.1008-9497.2016.02.004hilbert型积分不等式余割函数euler数部分分式展开gamma函数 |
| spellingShingle | YOUMinghui(有名辉) Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) Zhejiang Daxue xuebao. Lixue ban hilbert型积分不等式 余割函数 euler数 部分分式展开 gamma函数 |
| title | Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) |
| title_full | Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) |
| title_fullStr | Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) |
| title_full_unstemmed | Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) |
| title_short | Generalization of a Hilbert-type inequality related to Euler number(一个与Euler数有关的Hilbert型不等式的推广) |
| title_sort | generalization of a hilbert type inequality related to euler number 一个与euler数有关的hilbert型不等式的推广 |
| topic | hilbert型积分不等式 余割函数 euler数 部分分式展开 gamma函数 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2016.02.004 |
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