A generalization of Hölder and Minkowski inequalities
Küçük Resim Yok
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
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.
Açıklama
Anahtar Kelimeler
Hölder, Inequalities, Minkowski, Sequence algebra, Vector-valued sequence space
Kaynak
Journal of Inequalities in Pure and Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
N/A
Cilt
7
Sayı
5
