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 |
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| Online Access: | http://dx.doi.org/10.1155/S1025583497000258 |
| Summary: | 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]. |
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| ISSN: | 1025-5834 1029-242X |