| Journal of Inequalities and Applications | |
| A Hardy–Hilbert-type integral inequality involving two multiple upper-limit functions | |
| Research | |
| Leping He1  Bicheng Yang2  Ricai Luo3  | |
| [1] College of Mathematics and Statistics, Jishou University, 416000, Hunan, Jishou, P.R. China;Department of Mathematics, Guangdong University of Education, 51003, Guangzhou, Guangdong, China;School of Mathematics and Statistics, Hechi University, 546300, Yizhou, Guangxi, P.R. China; | |
| 关键词: Weight function; Hardy–Hilbert-type integral inequality; Multiple upper-limit function; Parameter; Gamma function; Beta function; 26D15; | |
| DOI : 10.1186/s13660-023-02931-3 | |
| received in 2022-05-07, accepted in 2023-01-30, 发布年份 2023 | |
| 来源: Springer | |
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【 授权许可】
CC BY
© The Author(s) 2023
【 预 览 】
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【 参考文献 】
- [1]
- [2]
- [3]
- [4]
- [5]
- [6]
- [7]
- [8]
- [9]
- [10]
- [11]
- [12]
- [13]
- [14]
- [15]
- [16]
- [17]
- [18]
- [19]
- [20]
- [21]
- [22]
- [23]
- [24]
- [25]
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