On generalized sequence spaces via modulus function
نویسندگان
چکیده
منابع مشابه
On Some Generalized Difference Paranormed Sequence Spaces Associated with Multiplier Sequence Defined by Modulus Function
In this article we introduce the paranormed sequence spaces ( f ,Λ,∆m, p), c0( f ,Λ,∆m, p) and l∞( f ,Λ,∆m, p), associated with the multiplier sequence Λ = (λk), defined by a modulus function f . We study their different properties like solidness, symmetricity, completeness etc. and prove some inclusion results.
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chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
15 صفحه اولGeneralized Vector-Valued Sequence Spaces Defined by Modulus Functions
We introduce the vector-valued sequence spaces w∞ Δ, F,Q, p, u , w1 Δ, F,Q, p, u , and w0 Δ, F,Q, p, u , S q u and S q 0u, using a sequence of modulus functions and the multiplier sequence u uk of nonzero complex numbers. We give some relations related to these sequence spaces. It is also shown that if a sequence is strongly Δuq-Cesàro summable with respect to the modulus function f then it is ...
متن کاملOn a Generalized Double Difference Sequence Spaces Defined by a Χ− Sequence of Modulus Functions
The idea of single difference sequence spaces was introduced by Kizmaz and this concept was generalized by various authors. In this paper, we define the sequence spaces χ2 (∆u,Mmn, p, s) and Λ2 (∆ γ u,Mmn, p, s) , where M = (Mmn) is a sequence of modulus functions, and examine some inclusion relations and properties of these spaces. 2000 Mathematics Subject Classification: 40A05,40C05,40D05.
متن کاملOn Some Generalized New Type Difference Sequence Spaces Defined by a Modulus Function in a Seminormed Space
The idea of difference sequence spaces were introduced by Kizmaz [6] and generalized by Et. and Colak [4]. Later Tripathy, Esi and Tripathy [15] introduced the notion of the new difference operator ∆m for n,m ∈ N . In this paper we introduced some new type of generalized difference sequence spaces defined by a modulus function and the new type of statistically convergent generalized difference ...
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ژورنال
عنوان ژورنال: Journal of Inequalities and Applications
سال: 2014
ISSN: 1029-242X
DOI: 10.1186/1029-242x-2014-101