Yazar "Solak I." seçeneğine göre listele

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    A generalization of Hölder and Minkowski inequalities
    (2006) Yilmaz Y.; Kemal Özdemir M.; Solak I.
    In 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.
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    Vector-valued FK-spaces defined by a modulus function
    (Walter de Gruyter GmbH, 2005) Yilmaz Y.; Solak I.
    We introduced and investigated the sequence space ? (Xk, r, f, s) defined by a modulus function f, and constructed its FK-structure under some conditions. Also we exposed some inclusion relations among the variations of the space. © 2005 Warsaw University. All rights reserved.