On a New Weighted Hilbert Inequality
It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is obtained. And a similar result for the Hilbert integral inequality is also proved. Some app...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2008-06-01
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| Series: | Journal of Inequalities and Applications |
| Online Access: | http://dx.doi.org/10.1155/2008/637397 |
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Article |
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doaj-c9b21883e3ba460285913bc9befe089a2020-11-24T21:09:56ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2008-06-01200810.1155/2008/637397On a New Weighted Hilbert InequalityGao MingzheGao XuemeiHe LepingIt is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is obtained. And a similar result for the Hilbert integral inequality is also proved. Some applications are considered.http://dx.doi.org/10.1155/2008/637397 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Gao Mingzhe Gao Xuemei He Leping |
| spellingShingle |
Gao Mingzhe Gao Xuemei He Leping On a New Weighted Hilbert Inequality Journal of Inequalities and Applications |
| author_facet |
Gao Mingzhe Gao Xuemei He Leping |
| author_sort |
Gao Mingzhe |
| title |
On a New Weighted Hilbert Inequality |
| title_short |
On a New Weighted Hilbert Inequality |
| title_full |
On a New Weighted Hilbert Inequality |
| title_fullStr |
On a New Weighted Hilbert Inequality |
| title_full_unstemmed |
On a New Weighted Hilbert Inequality |
| title_sort |
on a new weighted hilbert inequality |
| publisher |
SpringerOpen |
| series |
Journal of Inequalities and Applications |
| issn |
1025-5834 1029-242X |
| publishDate |
2008-06-01 |
| description |
It is shown that a weighted Hilbert inequality for double series can be established by introducing a proper weight function. Thus, a quite sharp result of the classical Hilbert inequality for double series is obtained. And a similar result for the Hilbert integral inequality is also proved. Some applications are considered. |
| url |
http://dx.doi.org/10.1155/2008/637397 |
| work_keys_str_mv |
AT gaomingzhe onanewweightedhilbertinequality AT gaoxuemei onanewweightedhilbertinequality AT heleping onanewweightedhilbertinequality |
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1716756959895486464 |