Open AccessOn some generalized difference sequences with respect to a modulus function
Author(s) -
Mikail Et,
Yavuz Altın,
Hıfsı Altınok
Publication year - 2003
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil0317023e
Subject(s) - mathematics , sequence (biology) , sequence space , banach space , space (punctuation) , function space , modulo operation , pure mathematics , function (biology) , interpolation space , combinatorics , mathematical analysis , functional analysis , algorithm , chemistry , evolutionary biology , gene , biology , linguistics , philosophy , genetics , biochemistry
The idea of difference sequence spaces was intro- duced by Kizmaz [9] and generalized by Et and Colak [6]. In this paper we introduce the sequence spaces [V, ?, f, p]0 (?r, E), [V, ?, f, p]1 (?r, E), [V, ?, f, p]? (?r, E) S? (?r, E) and S?0 (?r, E) where E is any Banach space, examine them and give various properties and inclusion relations on these spaces. We also show that the space S? (?r, E) may be represented as a [V, ?, f, p]1 (?r, E)space.