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• Arithmetic rough statistical convergence for triple sequences

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.

• Wijsman rough I-convergence limit point of triple sequences defined by a metric function

We introduce and study some basic properties of Wijsman rough $I-$ convergent of triple sequence and also study the set of all rough $I-$ limits of a triple sequence.

• On triple sequence space of Bernstein-Stancu operator of rough $I_{\lambda}% -$statistical convergence of weighted $g\left( A\right)$

We introduce and study some basic properties of rough $I_{\lambda}% -$statistical convergent of weight $g\left( A\right)$, where $g:\mathbb{N}% ^{3}\rightarrow\left[ 0,\infty\right)$ is a function statisying $g\left( m,n,k\right) \rightarrow\infty$ and $g\left( m,n,k\right) \not \rightarrow 0$ as $m,n,k\rightarrow\infty$ and $A$ represent the RH-regular matrix and also prove the Korovkin approximation theorem by using the notion of weighted A-statistical convergence of weight $g\left( A\right)$ limits of a triple sequence of Bernstein-Stancu polynomials.

•  Strongly Summable Double Sequence Spaces in n-Normed Spaces Defined by Ideal Convergence and an Orlicz Function

In this paper we introduce some new double sequence spaces via ideal convergence and an Orlicz function in $n$-normed spaces and examine some properties of the resulting spaces.

•  SOME SEQUENCE SPACES OF INTERVAL NUMBERS DEFINED BY ORLICZ FUNCTION

In this study, we introduce some new sequence spaces of interval numbers using by Orlicz function and examine some properties of resulting sequence classes of interval numbers.

• ROUGH TRIPLE SEQUENCES IN GRADUAL NORMED SPACES

In this paper, we investigate general topological properties of rough triple sequences in a gradual normed space. We define some new notions such as rough gradual convergent of triple sequences, rough triple gradual Cauchy sequences, etc.

•  THE DIFFERENCE ORLICZ SPACE OF ENTIRE SEQUENCE OF FUZZY NUMBERS

In this paper we define and study the difference Orlicz space of entire sequence of fuzzy numbers. We study their different properties and statistical convergence in these spaces.

• ON ASYMPTOTICALLY f-ROUGH STATISTICAL EQUIVALENT OF TRIPLE SEQUENCES

In this work, via Orlicz functions, we have obtained a generalization of rough statistical convergence of asymptotically equivalent triple sequences a new non-matrix convergence method, which is intermediate between the ordinary convergence and the rough statistical convergence. We also have examined some inclusion relations related to this concept. We obtain the results are non negative real numbers with respect to the partial order on the set of real numbers.

• RIESZ TRIPLE ALMOST LACUNARY χ<sup>3</sup> SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I

In this paper we introduce a new concept for Riesz almost lacunary ${\chi}^3$ sequence spaces strong P - convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We introduce and study statistical convergence of Riesz almost lacunary ${\chi}^3$ sequence spaces and some inclusion theorems are discussed. 