The idea of difference sequence sets X( ) = {x = (x k ) : x ∈ X} with X = l∞, c and c0 was introduced by Kizmaz [12]. In this paper, using a sequence of moduli we define some generalized difference sequence spaces and give some inclusion relations. §1 Introduction Let 0 be the set of all complex sequences and let l ∞ , c, and c 0 be the sets of all bounded, convergent, and null sequences x = (x k ) with complex terms, respectively, normed byIn 1981, Kizmaz [12] defined the difference sequence spaces:They are Banach spaces with the normLater Colak and Et [2] defined the sequence spaces:
In this paper, we use the notion of λ-statistical convergence in order to generalize these concepts. We establish some inclusion relations between them. We define the statistical convergence and λ-statistical convergence in neutrosophic normed space. We give the λ-statistically Cauchy sequence in neutrosophic normed space and present the λ-statistically completeness in connection with a neutrosophic normed space. Some interesting examples are also displayed here in support of our definitions and results.
In this article we introduce and study 0 BVsequence spaces with the help of BV σ [see [23]] and a modulus function f . We study topological, algebraic properties and some inclusion relations on these sequence spaces.
Recently, the notion of I λ -convergence in an intuitionistic fuzzy n-normed spaces was introduced by Konwar et al. [N. Konwar and P. Debnath. I λ -convergence in intuitionistic fuzzy n-normed linear space. 07 2016]. In this article with the help of the notion I λ -convergence , we introduce some new Orlicz sequence spaces. Further, we examine some topological properties on these spaces.
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