On some Opial-type inequalities
<p>Abstract</p> <p>In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.<...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2011-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://www.journalofinequalitiesandapplications.com/content/2011/1/7 |
| _version_ | 1818262834511872000 |
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| author | Cheung Wing-Sum Zhao Chang-Jian |
| author_facet | Cheung Wing-Sum Zhao Chang-Jian |
| author_sort | Cheung Wing-Sum |
| collection | DOAJ |
| description | <p>Abstract</p> <p>In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.</p> <p> <b>MR (2000) Subject Classification 26D15</b> </p> |
| first_indexed | 2024-12-12T19:09:25Z |
| format | Article |
| id | doaj.art-56ff091dbb654b0e863526c01a7134f6 |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-12T19:09:25Z |
| publishDate | 2011-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-56ff091dbb654b0e863526c01a7134f62022-12-22T00:14:54ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2011-01-01201117On some Opial-type inequalitiesCheung Wing-SumZhao Chang-Jian<p>Abstract</p> <p>In the present paper we establish some new Opial-type inequalities involving higher-order partial derivatives. Our results in special cases yield some of the recent results on Opial's inequality and also provide new estimates on inequalities of this type.</p> <p> <b>MR (2000) Subject Classification 26D15</b> </p>http://www.journalofinequalitiesandapplications.com/content/2011/1/7Opial's inequalityOpial-type integral inequalitiesHölder's inequality |
| spellingShingle | Cheung Wing-Sum Zhao Chang-Jian On some Opial-type inequalities Journal of Inequalities and Applications Opial's inequality Opial-type integral inequalities Hölder's inequality |
| title | On some Opial-type inequalities |
| title_full | On some Opial-type inequalities |
| title_fullStr | On some Opial-type inequalities |
| title_full_unstemmed | On some Opial-type inequalities |
| title_short | On some Opial-type inequalities |
| title_sort | on some opial type inequalities |
| topic | Opial's inequality Opial-type integral inequalities Hölder's inequality |
| url | http://www.journalofinequalitiesandapplications.com/content/2011/1/7 |
| work_keys_str_mv | AT cheungwingsum onsomeopialtypeinequalities AT zhaochangjian onsomeopialtypeinequalities |