A weighted inequality for derivatives on the half-line
<p/> <p>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...
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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://www.journalofinequalitiesandapplications.com/content/1/601313 |
| Summary: | <p/> <p>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 <inline-formula><graphic file="1029-242X-1997-601313-i1.gif"/></inline-formula>, which have had important applications to the study of polynomial approximation on <inline-formula><graphic file="1029-242X-1997-601313-i2.gif"/></inline-formula>.</p> |
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| ISSN: | 1025-5834 1029-242X |