On <img src=image/13427444_01.gif>-Ideal Statistically Convergent of Double Sequences in n-Normed Spaces over Non-Archimedean Fields
نویسندگان
چکیده
The main aim of this work is to investigate some important properties statistical convergence sequence in non-Archimedean fields. Statistical has been discussed various fields mathematics namely approximation theory, measure probability trigonometric series, number etc. concept summability over valued a significant area that many applications analytic continuation, quantum mechanics, Fourier analysis, and fixed point theory. theory plays notable space the functional analysis. purpose provide certain characterizations ideal Cauchy n-normed spaces establishment relevant results statistically are defined. A few related theorems proved field src=image/13427444_02.gif>. extended establish double sequences new have proved. In work, complete, non-trivially valued, field. Throughout article, src=image/13427444_02.gif>
منابع مشابه
On Statistically Convergent Double Sequences in Intuitionistic Fuzzy 2-Normed Spaces
Abstract Quite recently, the concept of intuitionistic fuzzy 2-normed spaces was introduced by Mursaleen and Lohani [6]. Also, Mursaleen and Mohiuddine [7] have studied the notion of statistical convergence of double sequences in intuitionistic fuzzy normed spaces. In this paper, we study the concept of statistically convergent and statistically Cauchy double sequences in intuitionistic fuzzy 2...
متن کاملOn 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 کاملOn Some I-Convergent Sequence Spaces Over N-Normed Spaces
The concept of 2-normed spaces was initially developed by Gähler[5] in the mid of 1960’s, while that of n-normed spaces one can see in Misiak[15]. Since then, many others have studied this concept and obtained various results, see Gunawan ([7,8]) and Gunawan and Mashadi [9] and references therein. Let n ∈ N and X be a linear space over the field K, where K is field of real or complex numbers of...
متن کاملDOUBLE SEQUENCE SPACES OVER n-NORMED SPACES
In this paper, we define some classes of double sequences over n-normed spaces by means of an Orlicz function. We study some relevant algebraic and topological properties. Further some inclusion relations among the classes are also examined.
متن کاملOn Lacunary Statistically Convergent Triple Sequences in Probabilistic Normed Space
In this paper we study the concept of lacunary statistical convergent triple sequences in probabilistic normed spaces and prove some basic properties.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematics and Statistics
سال: 2022
ISSN: ['2332-2144', '2332-2071']
DOI: https://doi.org/10.13189/ms.2022.100510