A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1186/s13660-023-02951-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7531 |
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oai:localhost:PNK-75312023-04-05T02:53:21Z A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function Minghui, You homogeneous nonhomogeneous cases CC BY In this work, by the introduction of some parameters, a new half-discrete kernel function in the whole plane is defined, which involves both the homogeneous and the nonhomogeneous cases. By employing some techniques of real analysis, especially the method of a weight function, a new half-discrete Hilbert-type inequality with the new kernel function, as well as its equivalent Hardy-type inequalities are established. Moreover, it is proved that the constant factors of the newly obtained inequalities are the best possible. Finally, assigning special values to the parameters, some new half-discrete Hilbert-type inequalities with special kernels are presented at the end of the paper. 2023-04-05T02:53:21Z 2023-04-05T02:53:21Z 2023 Book https://link.springer.com/article/10.1186/s13660-023-02951-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7531 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
homogeneous nonhomogeneous cases |
| spellingShingle |
homogeneous nonhomogeneous cases Minghui, You A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| description |
CC BY |
| format |
Book |
| author |
Minghui, You |
| author_facet |
Minghui, You |
| author_sort |
Minghui, You |
| title |
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| title_short |
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| title_full |
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| title_fullStr |
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| title_full_unstemmed |
A half-discrete Hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| title_sort |
half-discrete hilbert-type inequality in the whole plane with the constant factor related to a cotangent function |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1186/s13660-023-02951-z https://dlib.phenikaa-uni.edu.vn/handle/PNK/7531 |
| _version_ |
1762365499381907456 |
| score |
8.881002 |