On rough convergence of triple sequences

Matematychni Studii

In this paper we define and study Wijsman rough convergence of triple sequences, the set of Wijsman rough limit points of a triple sequence. Also investigate the relations between the set of cluster points and the set of Wijsman rough limit points of a triple sequence.

ITM Web of Conferences, 2018

Triple sequence convergence has an extremly important position in the basic theory of mathematics. The present manuscript contains four types of convergence concept of convergence almost surely, convergence incredibility, trust convergence in mean and convergence in distribution and discuss the relation ship among those and some mathematical properties of those new convergence.

ANNALS OF FUZZY MATHEMATICS AND INFORMATICS

In this paper, using the concept of natural density, we introduce the notion of arithmetic rough statistical convergence of triple sequences. We define the set of arithmetic rough statistical limit points of a triple sequence and obtain arithmetic rough statistical convergence criteria associated with this set. Later, we prove this set is closed and convex and also examine the relations between the set of arithmetic rough statistical cluster points and the set of arithmetic rough statistical limit points of a triple sequence.

International Journal of Sciences: Basic and Applied Research, 2017

In this paper, using the concept of natural density, we introduce the notion of Wijsman rough statistical convergence of triple sequence. We define the set of Wijsman rough statistical limit points of a triple sequence spaces and obtain Wijsman statistical convergence criteria associated with this set. Later, we prove that this set is closed and convex and also examine the relations between the set of Wijsman rough statistical cluster points and the set of Wijsman rough statistical limit points of a triple sequences.

2016

In this paper we study some basic properties of rough $I$-convergent double sequences in the line of D$\ddot{u}$ndar [8]. We also study the set of all rough $I$-limits of a double sequence and relation between boundedness and rough $I$-convergence of a double sequence.

Filomat, 2019

In this study, we investigated relationships between rough convergence and classical convergence and studied some properties about the notion of rough convergence, the set of rough limit points and rough cluster points of a sequence in 2-normed space. Also, we examined the dependence of r-limit LIMr 2xn of a fixed sequence (xn) on varying parameter r in 2-normed space

2018

We introduce the concepts in probability of rough lacunary statistical convergence and Nθ rough convergence of a triple sequence spaces of real numbers and discuss general properties of above rough convergence.

Journal of Science and Arts, 2021

In this paper, we investigated some basic properties of rough-convergence of a triple sequence spaces of fuzzy in three dimensional matrix spaces which are not earlier. In addition, it was studied the set of all rough-limits of a triple sequence spaces and also the relation between analytic ness and rough-core of a triple sequence spaces.

arXiv: Functional Analysis, 2016

The concept of I-statistical convergence of sequence was first defined by Das et.al [2]. In this paper we introduce and study the notion of rough I-statistical convergence of sequence in normed linear Spaces. We also define the set of rough I-statistical limits of a sequence and discuss some topological properties of this set.

Afrika Matematika, 2015

The notion of I-statistical convergence of a double sequence was first introduced by Belen et. al.[2] and the notion of rough convergence of a sequence was first introduced by Phu [19]. In this paper we introduce and study the notion of rough I-statistical convergence of double sequences in normed linear spaces. We also introduce the notion of rough I-statistical limit set of a double sequence and discuss about some topological properties of this set.