A weighted inequality for derivatives on the half-line
Some inequalities will be presented, which give weighted norm estimates for derivatives of functions defined on the half-line. These inequalities are related to Hardy’s inequality, and they also generalize Hardy’s inequality to higher derivatives. The results presented here are also analog...
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| Format: | Article |
| Language: | English |
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SpringerOpen
1997-01-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1025583497000258 |
| _version_ | 1819170597502976000 |
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| author | T. Kilgore |
| author_facet | T. Kilgore |
| author_sort | T. Kilgore |
| collection | DOAJ |
| description | Some inequalities will be presented, which give weighted norm estimates for derivatives of functions defined on the half-line. These inequalities are related to Hardy’s inequality, and they also generalize Hardy’s inequality to higher derivatives. The results presented here are also analogous to some recently-derived inequalities for the derivatives of functions defined on the interval [−1,1], which have had important applications to the study of polynomial approximation on [−1,1]. |
| first_indexed | 2024-12-22T19:37:55Z |
| format | Article |
| id | doaj.art-9c61362a3d7542c0acbc6efa16ff22ef |
| institution | Directory Open Access Journal |
| issn | 1025-5834 1029-242X |
| language | English |
| last_indexed | 2024-12-22T19:37:55Z |
| publishDate | 1997-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of Inequalities and Applications |
| spelling | doaj.art-9c61362a3d7542c0acbc6efa16ff22ef2022-12-21T18:14:55ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X1997-01-011435736710.1155/S1025583497000258A weighted inequality for derivatives on the half-lineT. KilgoreSome inequalities will be presented, which give weighted norm estimates for derivatives of functions defined on the half-line. These inequalities are related to Hardy’s inequality, and they also generalize Hardy’s inequality to higher derivatives. The results presented here are also analogous to some recently-derived inequalities for the derivatives of functions defined on the interval [−1,1], which have had important applications to the study of polynomial approximation on [−1,1].http://dx.doi.org/10.1155/S1025583497000258Function inequalities for derivatives; Hardy’s Inequality. |
| spellingShingle | T. Kilgore A weighted inequality for derivatives on the half-line Journal of Inequalities and Applications Function inequalities for derivatives; Hardy’s Inequality. |
| title | A weighted inequality for derivatives on the half-line |
| title_full | A weighted inequality for derivatives on the half-line |
| title_fullStr | A weighted inequality for derivatives on the half-line |
| title_full_unstemmed | A weighted inequality for derivatives on the half-line |
| title_short | A weighted inequality for derivatives on the half-line |
| title_sort | weighted inequality for derivatives on the half line |
| topic | Function inequalities for derivatives; Hardy’s Inequality. |
| url | http://dx.doi.org/10.1155/S1025583497000258 |
| work_keys_str_mv | AT tkilgore aweightedinequalityforderivativesonthehalfline AT tkilgore weightedinequalityforderivativesonthehalfline |