Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality
The norm of a Hilbert's type linear operator T:L2(0,∞)→L2(0,∞) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2008-01-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2007/82138 |
| Summary: | The norm of a Hilbert's type linear operator T:L2(0,∞)→L2(0,∞) is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly. |
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| ISSN: | 1025-5834 1029-242X |