One-dimensional differential Hardy inequality

Abstract We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.

Bibliographic Details
Main Author:	Aigerim Kalybay
Format:	Article
Language:	English
Published:	SpringerOpen 2017-01-01
Series:	Journal of Inequalities and Applications
Subjects:	inequality Hardy-type inequality weight differential operator
Online Access:	http://link.springer.com/article/10.1186/s13660-017-1293-3

id	doaj-27924efce5f94df9815b8a01606ffb39
record_format	Article
spelling	doaj-27924efce5f94df9815b8a01606ffb392020-11-24T22:59:56ZengSpringerOpenJournal of Inequalities and Applications1029-242X2017-01-012017111110.1186/s13660-017-1293-3One-dimensional differential Hardy inequalityAigerim Kalybay0KIMEP UniversityAbstract We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.http://link.springer.com/article/10.1186/s13660-017-1293-3inequalityHardy-type inequalityweightdifferential operator
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Aigerim Kalybay
spellingShingle	Aigerim Kalybay One-dimensional differential Hardy inequality Journal of Inequalities and Applications inequality Hardy-type inequality weight differential operator
author_facet	Aigerim Kalybay
author_sort	Aigerim Kalybay
title	One-dimensional differential Hardy inequality
title_short	One-dimensional differential Hardy inequality
title_full	One-dimensional differential Hardy inequality
title_fullStr	One-dimensional differential Hardy inequality
title_full_unstemmed	One-dimensional differential Hardy inequality
title_sort	one-dimensional differential hardy inequality
publisher	SpringerOpen
series	Journal of Inequalities and Applications
issn	1029-242X
publishDate	2017-01-01
description	Abstract We establish necessary and sufficient conditions for the one-dimensional differential Hardy inequality to hold, including the overdetermined case. The solution is given in terms different from those of the known results. Moreover, the least constant for this inequality is estimated.
topic	inequality Hardy-type inequality weight differential operator
url	http://link.springer.com/article/10.1186/s13660-017-1293-3
work_keys_str_mv	AT aigerimkalybay onedimensionaldifferentialhardyinequality
_version_	1725643214279409664

One-dimensional differential Hardy inequality

Similar Items