A generalization of Hölder and Minkowski inequalities

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dc.authorscopusid7007034346
dc.authorscopusid15754098100
dc.authorscopusid15754847900
dc.contributor.authorYilmaz Y.
dc.contributor.authorKemal Özdemir M.
dc.contributor.authorSolak I.
dc.date.accessioned2024-08-04T20:02:24Z
dc.date.available2024-08-04T20:02:24Z
dc.date.issued2006
dc.departmentİnönü Üniversitesien_US
dc.description.abstractIn this work, we give a generalization of Holder and Minkowski inequalities to normal sequence algebras with absolutely monotone seminorm. Our main result is Theorem 2.1 and Theorem 2.2 which state these extensions. Taking F = ell;1 and ?·?F = ?·? 1 in both these theorems, we obtain classical versions of these inequalities. Also, using these generalizations we construct the vector-valued sequence space F (X, ?, p) as a paranormed space which is a most general form of the space c0 (X, ?, p) investigated in 6. © 2006 Victoria University. All rights reserved.en_US
dc.identifier.issn1443-5756
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-33845868767en_US
dc.identifier.scopusqualityN/Aen_US
dc.identifier.urihttps://hdl.handle.net/11616/91648
dc.identifier.volume7en_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.relation.ispartofJournal of Inequalities in Pure and Applied Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHölderen_US
dc.subjectInequalitiesen_US
dc.subjectMinkowskien_US
dc.subjectSequence algebraen_US
dc.subjectVector-valued sequence spaceen_US
dc.titleA generalization of Hölder and Minkowski inequalitiesen_US
dc.typeArticleen_US

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