Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel
We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of con...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2009/130958 |
| _version_ | 1819177611493900288 |
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| author | Predrag Vuković |
| author_facet | Predrag Vuković |
| author_sort | Predrag Vuković |
| collection | DOAJ |
| description | We consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of conjugate parameters when the parameters satisfy appropriate conditions. We also compare our results with some known results. |
| first_indexed | 2024-12-22T21:29:25Z |
| format | Article |
| id | doaj.art-1dfe0925d1354438af1ea7985e3e7bb1 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-22T21:29:25Z |
| publishDate | 2009-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-1dfe0925d1354438af1ea7985e3e7bb12022-12-21T18:11:58ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2009-01-01200910.1155/2009/130958Multidimensional Hilbert-Type Inequalities with a Homogeneous KernelPredrag VukovićWe consider the Hilbert-type inequalities with nonconjugate parameters. The obtaining of the best possible constants in the case of nonconjugate parameters remains still open. Our generalization will include a general homogeneous kernel. Also, we obtain the best possible constants in the case of conjugate parameters when the parameters satisfy appropriate conditions. We also compare our results with some known results.http://dx.doi.org/10.1155/2009/130958 |
| spellingShingle | Predrag Vuković Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel Journal of Inequalities and Applications |
| title | Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel |
| title_full | Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel |
| title_fullStr | Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel |
| title_full_unstemmed | Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel |
| title_short | Multidimensional Hilbert-Type Inequalities with a Homogeneous Kernel |
| title_sort | multidimensional hilbert type inequalities with a homogeneous kernel |
| url | http://dx.doi.org/10.1155/2009/130958 |
| work_keys_str_mv | AT predragvukoviamp263 multidimensionalhilberttypeinequalitieswithahomogeneouskernel |