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SOME SEQUENCE SPACES OF INTERVAL NUMBERS DEFINED BY ORLICZ FUNCTION
AYTEN ESI,M. NECDET CATALBAS 장전수학회 2017 Proceedings of the Jangjeon mathematical society Vol.20 No.1
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.
Wijsman rough I-convergence limit point of triple sequences defined by a metric function
Ayhan Esi,Nagarajan Subramanian,AYTEN ESI 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.15 No.1
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.
A. Esi,N. Subramanian,Ayten Esi 원광대학교 기초자연과학연구소 2018 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.16 No.3
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.
Arithmetic rough statistical convergence for triple sequences
A. Esi,N. Subramanian,Ayten Esi 원광대학교 기초자연과학연구소 2019 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.17 No.3
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.