On some triple sequence spaces of

Zeszyty Naukowe Politechniki Rzeszowskiej, 2018

We generalized the concepts in probability of rough Cesàro and lacunary statistical by introducing the difference operator ∆ α γ

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.

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.

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.

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.

Malaya Journal of Matematik

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.

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.

2019

In this paper we have introduced and studied some new classes of triple sequence spaces of χ via rough λstatistical convergence in probability using by Musielak-Orlicz functions. Furthermore we have discussed some inclusion properties of among these triple sequence spaces.

THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)

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

International Journal of Analysis and Applications

In this paper, we defined concept of Wijsman I-Cesàro summability for sequences of sets and investigate the relationships between the concepts of Wijsman strongly I-Cesàro summability and Wijsman statistical I− Cesàro summability by using the concept of a triple sequence spaces.