Generalized Statistical Convergence and Statistical Core of Double Sequences
نویسندگان
چکیده
In this paper we extend the notion of λ-statistical convergence to the (λ, μ)statistical convergence for double sequences x = (xjk). We also determine some matrix transformations and establish some core theorems related to our new space of double sequences Sλ,μ.
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 کاملResearch Article Cesàro Statistical Core of Complex Number Sequences
The concept of statistical convergence was first introduced by Fast [1] and further studied by Šalát [2], Fridy [3], and many others, and for double sequences it was introduced and studied by Mursaleen and Edely [4] and Móricz [5] separately in the same year. Many concepts related to the statistical convergence have been introduced and studied so far, for example, statistical limit point, stati...
متن کاملStatistical Convergence and Strong $p-$Ces`{a}ro Summability of Order $beta$ in Sequences of Fuzzy Numbers
In this study we introduce the concepts of statistical convergence of order$beta$ and strong $p-$Ces`{a}ro summability of order $beta$ for sequencesof fuzzy numbers. Also, we give some relations between the statisticalconvergence of order $beta$ and strong $p-$Ces`{a}ro summability of order$beta$ and construct some interesting examples.
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 کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2010