On New Extensions of Hilbert's Integral Inequality
It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications, some new extensions of Widder�...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2008-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2008/297508 |
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| _version_ | 1832558928885448704 |
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| author | He Leping Gao Mingzhe Zhou Yu |
| author_facet | He Leping Gao Mingzhe Zhou Yu |
| author_sort | He Leping |
| collection | DOAJ |
| description | It is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications, some new extensions of Widder's inequality and Hardy-Littlewood's inequality are given. |
| format | Article |
| id | doaj-art-4f0420011b3841a18ca4ce873837dc93 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2008-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4f0420011b3841a18ca4ce873837dc932025-02-03T01:31:12ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252008-01-01200810.1155/2008/297508297508On New Extensions of Hilbert's Integral InequalityHe Leping0Gao Mingzhe1Zhou Yu2Department of Mathematics and Applied Mathematics, College of Mathematics and Computer Science, Jishou University, Jishou Hunan 416000, ChinaDepartment of Mathematics and Computer Science, Normal College of Jishou University, Jishou Hunan 416000, ChinaDepartment of Mathematics and Computer Science, Normal College of Jishou University, Jishou Hunan 416000, ChinaIt is shown that some new extensions of Hilbert's integral inequality with parameter λ(λ>1/2) can be established by introducing a proper weight function. In particular, when λ=1, a refinement of Hilbert's integral inequality is obtained. As applications, some new extensions of Widder's inequality and Hardy-Littlewood's inequality are given.http://dx.doi.org/10.1155/2008/297508 |
| spellingShingle | He Leping Gao Mingzhe Zhou Yu On New Extensions of Hilbert's Integral Inequality International Journal of Mathematics and Mathematical Sciences |
| title | On New Extensions of Hilbert's Integral Inequality |
| title_full | On New Extensions of Hilbert's Integral Inequality |
| title_fullStr | On New Extensions of Hilbert's Integral Inequality |
| title_full_unstemmed | On New Extensions of Hilbert's Integral Inequality |
| title_short | On New Extensions of Hilbert's Integral Inequality |
| title_sort | on new extensions of hilbert s integral inequality |
| url | http://dx.doi.org/10.1155/2008/297508 |
| work_keys_str_mv | AT heleping onnewextensionsofhilbertsintegralinequality AT gaomingzhe onnewextensionsofhilbertsintegralinequality AT zhouyu onnewextensionsofhilbertsintegralinequality |