Difference sequence spaces defined by a sequence of modulus functions
نویسندگان
چکیده
منابع مشابه
On difference sequence spaces defined by Orlicz functions without convexity
In this paper, we first define spaces of single difference sequences defined by a sequence of Orlicz functions without convexity and investigate their properties. Then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
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 کاملSome multiplier difference sequence spaces defined by a sequence of modulus functions 1
In this paper we introduce and investigate the multiplier difference sequence spaces c0(F , ∆(m), Λ, p), c(F , ∆ n (m), Λ, p) and `∞(F , ∆(m),Λ, p) defined by a sequence F= (fk) of modulus functions and p = (pk) be any bounded sequence of positive real numbers. We study their different properties like completeness, solidity, monotonicity, symmetricity etc. We also obtain some relations between ...
متن کاملSome Strongly Convergent Difference Sequence Spaces Defined by a Sequence of Modulus Functions
In the present paper we introduce some strongly convergent difference sequence spaces defined by a sequence of modulus functions F = (fk). We also study some topological properties and inclusion relations between these spaces. AMS Mathematics Subject Classification (2010): 40A05, 40C05, 46A45.
متن کاملon difference sequence spaces defined by orlicz functions without convexity
in this paper, we first define spaces of single difference sequences defined by a sequence of orlicz functions without convexity and investigate their properties. then we extend this idea to spaces of double sequences and present a new matrix theoretic approach construction of such double sequence spaces.
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ژورنال
عنوان ژورنال: Proyecciones (Antofagasta)
سال: 2011
ISSN: 0716-0917
DOI: 10.4067/s0716-09172011000200005