On ideal convergence of double sequences in probabilistic normed spaces
نویسندگان
چکیده
منابع مشابه
On Ideal Convergence of Double Sequences in Probabilistic Normed Spaces
One of the generalizations of statistical convergence is I-convergence which was introduced by Kostyrko et al. [12]. In this paper, we define and study the concept of I-convergence, I∗-convergence, I-limit points and I-cluster points of double sequences in probabilistic normed space. We discuss the relationship between I2-convergence and I ∗ 2 -convergence, i.e., we show that I ∗ 2 -convergence...
متن کاملStatistical Convergence of Double Sequences on Probabilistic Normed Spaces
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...
متن کاملOn I-Convergence of Double Sequences in 2-Normed Spaces
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 کاملResearch Article Statistical Convergence of Double Sequences on Probabilistic Normed Spaces
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...
متن کاملStatistical 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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ژورنال
عنوان ژورنال: Acta Mathematica Sinica, English Series
سال: 2012
ISSN: 1439-8516,1439-7617
DOI: 10.1007/s10114-012-9321-1