On Lp Space Formed by Real-Valued Partial Functions

Pole DC	Wartość	Język
dc.contributor.author	Watase, Yasushige	-
dc.contributor.author	Endou, Noboru	-
dc.contributor.author	Shidama, Yasunari	-
dc.date.accessioned	2015-12-02T18:02:39Z	-
dc.date.available	2015-12-02T18:02:39Z	-
dc.date.issued	2010	-
dc.identifier.citation	Formalized Mathematics, Volume 18, Issue 3, 2010, Pages 159-169	-
dc.identifier.issn	1426-2630	-
dc.identifier.issn	1898-9934	-
dc.identifier.uri	http://hdl.handle.net/11320/3570	-
dc.description.abstract	This article is the continuation of [31]. We define the set of Lp integrable functions - the set of all partial functions whose absolute value raised to the p-th power is integrable. We show that Lp integrable functions form the Lp space. We also prove Minkowski's inequality, Hölder's inequality and that Lp space is Banach space ([15], [27]).	-
dc.language.iso	en	-
dc.publisher	De Gruyter Open	-
dc.title	On Lp Space Formed by Real-Valued Partial Functions	-
dc.type	Article	-
dc.identifier.doi	10.2478/v10037-010-0018-6	-
dc.description.Affiliation	Watase Yasushige - Graduate School of Science and Technology, Shinshu University, Nagano, Japan	-
dc.description.Affiliation	Endou Noboru - Gifu National College of Technology, Japan	-
dc.description.Affiliation	Shidama Yasunari - Shinshu University, Nagano, Japan	-
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