A Hilbert Integral-Type Inequality with Parameters
A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated. As applications, some equivalent forms a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2010/486127 |
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| _version_ | 1832565118558273536 |
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| author | Shang Xiaozhou Gao Mingzhe |
| author_facet | Shang Xiaozhou Gao Mingzhe |
| author_sort | Shang Xiaozhou |
| collection | DOAJ |
| description | A Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is
proved to be the best possible. And then some important and especial results are enumerated.
As applications, some equivalent forms are studied. |
| format | Article |
| id | doaj-art-a6f1a8ff2a2440a59028d620bc0364da |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-a6f1a8ff2a2440a59028d620bc0364da2025-02-03T01:09:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252010-01-01201010.1155/2010/486127486127A Hilbert Integral-Type Inequality with ParametersShang Xiaozhou0Gao Mingzhe1Department of Mathematics and Computer Science, Normal College of Jishou University, Hunan Jishou 416000, ChinaDepartment of Mathematics and Computer Science, Normal College of Jishou University, Hunan Jishou 416000, ChinaA Hilbert-type integral inequality with parameters α and (α,λ>0) can be established by introducing a nonhomogeneous kernel function. And the constant factor is proved to be the best possible. And then some important and especial results are enumerated. As applications, some equivalent forms are studied.http://dx.doi.org/10.1155/2010/486127 |
| spellingShingle | Shang Xiaozhou Gao Mingzhe A Hilbert Integral-Type Inequality with Parameters International Journal of Mathematics and Mathematical Sciences |
| title | A Hilbert Integral-Type Inequality with Parameters |
| title_full | A Hilbert Integral-Type Inequality with Parameters |
| title_fullStr | A Hilbert Integral-Type Inequality with Parameters |
| title_full_unstemmed | A Hilbert Integral-Type Inequality with Parameters |
| title_short | A Hilbert Integral-Type Inequality with Parameters |
| title_sort | hilbert integral type inequality with parameters |
| url | http://dx.doi.org/10.1155/2010/486127 |
| work_keys_str_mv | AT shangxiaozhou ahilbertintegraltypeinequalitywithparameters AT gaomingzhe ahilbertintegraltypeinequalitywithparameters AT shangxiaozhou hilbertintegraltypeinequalitywithparameters AT gaomingzhe hilbertintegraltypeinequalitywithparameters |