On A class of Double Difference Sequences, their Statistical convergence in 2-normed spaces and their duals
نویسندگان
چکیده
منابع مشابه
Statistical Convergence of Double Sequences in 2-Normed Spaces
In this article we define and investigate statistical analogue of convergence and Cauchy for double sequences in 2-normed space.We also obtain a criteria for a double sequence in 2-normed spaces to be a statistical Cauchy sequence. Mathematics Subject Classification: 40A05; 40A99, 46A70, 46A45
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The concept of statistical convergence in $2$-normed spaces for double sequence was introduced in [S. Sarabadan and S. Talebi, {it Statistical convergence of double sequences in $2$-normed spaces }, Int. J. Contemp. Math. Sci. 6 (2011) 373--380]. In the first, we introduce concept strongly statistical convergence in $2$-normed spaces and generalize some results. Moreover, we define the conce...
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The concept of statistical convergence was presented by Steinhaus in 1951. This concept was extended to the double sequences by Mursaleen and Edely in 2003. Karakus has recently introduced the concept of statistical convergence of ordinary (single) sequence on probabilistic normed spaces. In this paper, we define statistical analogues of convergence and Cauchy for double sequences on probabilis...
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The concept of I-convergence was introduced by Kostyrko et al (2001).It seems therefore reasonable to investigate the concept of I -convergence for the double sequences in 2-normed spaces.In this article we define and investigate ideal analogue of convergence for double sequences in 2-normed space and so we extend this concepts to I2-limit points and I2-cluster points in this spaces.We prove so...
متن کاملLacunary generalized difference statistical convergence in random 2-normed spaces
Recently in [22], Mursaleen introduced the concept of statistical convergence in random 2-normed spaces. In this paper, we define and study the notion of lacunary ∆-statistical convergence and lacunary ∆-statistical Cauchy sequences in random 2-normed spaces using lacunary density and prove some interesting theorems. Subjclass [2000] : Primary 40A05; Secondary 46A70, 40A99, 46A99.
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ژورنال
عنوان ژورنال: Boletim da Sociedade Paranaense de Matemática
سال: 2014
ISSN: 2175-1188,0037-8712
DOI: 10.5269/bspm.v32i1.19174