Yilmaz Y.Kemal Özdemir M.Solak I.2024-08-042024-08-0420061443-5756https://hdl.handle.net/11616/91648In 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.eninfo:eu-repo/semantics/closedAccessHölderInequalitiesMinkowskiSequence algebraVector-valued sequence spaceArticle752-s2.0-33845868767N/A