A Matrix Characterization of Statistical Convergence of Double Sequences in Non-Archimedean Fields
نویسندگان
چکیده
Fridy and Miller have given a characterization of statistical convergence for bounded single sequence, by matrix summability methods. The analogues of the some of the results for double sequences were proved by H.I. Miller and Leila Miller-Van Wieren. In this paper we define the statistical convergence of double sequences in a non-trivially valued non-archimedean field K and prove a theorem on it by a matrix characterization in such fields. Mathematics Subject Classification: 40A05, 40A35, 46S10
منابع مشابه
Wijsman Statistical Convergence of Double Sequences of Sets
In this paper, we study the concepts of Wijsman statistical convergence, Hausdorff statistical convergence and Wijsman statistical Cauchy double sequences of sets and investigate the relationship between them.
متن کاملStatistical uniform convergence in $2$-normed spaces
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...
متن کاملOn the Spaces of $lambda _{r}$-almost Convergent and $lambda _{r}$-almost Bounded Sequences
The aim of the present work is to introduce the concept of $lambda _{r}$-almost convergence of sequences. We define the spaces $fleft( lambda _{r}right) $ and $f_{0}left( lambda _{r}right) $ of $ lambda _{r}$-almost convergent and $lambda _{r}$-almost null sequences. We investigate some inclusion relations concerning those spaces with examples and we determine the $beta $- and $gamma $-duals of...
متن کامل$mathcal{I}_2$-convergence of double sequences of\ fuzzy numbers
In this paper, we introduce and study the concepts of $mathcal{I}_2$-convergence, $mathcal{I}_2^{*}$-convergence for double sequences of fuzzy real numbers, where $mathcal{I}_2$ denotes the ideal of subsets of $mathbb N times mathbb N$. Also, we study some properties and relations of them.
متن کاملUsing Non-Archimedean DEA Models for Classification of DMUs: A New Algorithm
A new algorithm for classification of DMUs to efficient and inefficient units in data envelopment analysis is presented. This algorithm uses the non-Archimedean Charnes-Cooper-Rhodes[1] (CCR) model. Also, it applies an assurance value for the non-Archimedean using only simple computations on inputs and outputs of DMUs (see [18]). The convergence and efficiency of the ne...
متن کامل