Two new forms of half-discrete Hilbert inequality
In this paper, we introduce two new forms of the half-discrete Hilbert inequality. The first form is a sharper form of the half-discrete Hilbert inequality and is related to Hardy inequality. In the second one, we give a differential form of this inequality.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2014-07-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X13000898 |
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doaj-74830455e89f4a84b9043e09853a144d2020-11-24T21:48:22ZengSpringerOpenJournal of the Egyptian Mathematical Society1110-256X2014-07-0122225425710.1016/j.joems.2013.06.014Two new forms of half-discrete Hilbert inequalityL.E. AzarIn this paper, we introduce two new forms of the half-discrete Hilbert inequality. The first form is a sharper form of the half-discrete Hilbert inequality and is related to Hardy inequality. In the second one, we give a differential form of this inequality.http://www.sciencedirect.com/science/article/pii/S1110256X13000898Hilbert inequalityHölder inequalityHardy inequality |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
L.E. Azar |
| spellingShingle |
L.E. Azar Two new forms of half-discrete Hilbert inequality Journal of the Egyptian Mathematical Society Hilbert inequality Hölder inequality Hardy inequality |
| author_facet |
L.E. Azar |
| author_sort |
L.E. Azar |
| title |
Two new forms of half-discrete Hilbert inequality |
| title_short |
Two new forms of half-discrete Hilbert inequality |
| title_full |
Two new forms of half-discrete Hilbert inequality |
| title_fullStr |
Two new forms of half-discrete Hilbert inequality |
| title_full_unstemmed |
Two new forms of half-discrete Hilbert inequality |
| title_sort |
two new forms of half-discrete hilbert inequality |
| publisher |
SpringerOpen |
| series |
Journal of the Egyptian Mathematical Society |
| issn |
1110-256X |
| publishDate |
2014-07-01 |
| description |
In this paper, we introduce two new forms of the half-discrete Hilbert inequality. The first form is a sharper form of the half-discrete Hilbert inequality and is related to Hardy inequality. In the second one, we give a differential form of this inequality. |
| topic |
Hilbert inequality Hölder inequality Hardy inequality |
| url |
http://www.sciencedirect.com/science/article/pii/S1110256X13000898 |
| work_keys_str_mv |
AT leazar twonewformsofhalfdiscretehilbertinequality |
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1725892666019807232 |