A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel
We first introduce Γ-function and Riemann ζ-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and it...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/674874 |
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| _version_ | 1832566761519579136 |
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| author | Qiong Liu Wenbing Sun |
| author_facet | Qiong Liu Wenbing Sun |
| author_sort | Qiong Liu |
| collection | DOAJ |
| description | We first introduce Γ-function and Riemann ζ-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and its constant factors are proved to be the best possible. Some meaningful results are obtained by taking the special parameter values. |
| format | Article |
| id | doaj-art-638af24d726b4ccc8f213df4c319125a |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-638af24d726b4ccc8f213df4c319125a2025-02-03T01:03:16ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/674874674874A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous KernelQiong Liu0Wenbing Sun1Department of Science and Information, Shaoyang University, Shaoyang 422000, ChinaDepartment of Science and Information, Shaoyang University, Shaoyang 422000, ChinaWe first introduce Γ-function and Riemann ζ-function to characterize the constant factor jointly. A Hilbert-type integral inequality with multiparameters and a nonhomogeneous kernel is given using the way of weight function and the technique of real analysis. The equivalent form is considered and its constant factors are proved to be the best possible. Some meaningful results are obtained by taking the special parameter values.http://dx.doi.org/10.1155/2014/674874 |
| spellingShingle | Qiong Liu Wenbing Sun A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel Abstract and Applied Analysis |
| title | A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel |
| title_full | A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel |
| title_fullStr | A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel |
| title_full_unstemmed | A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel |
| title_short | A Hilbert-Type Integral Inequality with Multiparameters and a Nonhomogeneous Kernel |
| title_sort | hilbert type integral inequality with multiparameters and a nonhomogeneous kernel |
| url | http://dx.doi.org/10.1155/2014/674874 |
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