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Esi, Ayhan Department of Mathematics 2012 Kyungpook mathematical journal Vol.52 No.2
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.
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.
Chlodowsky type (λ, q)-Bernstein Stancu operator of rough triple sequence space of fuzzy numbers
Ayhan Esi,Nagarajan Subramanian,M. Kemal Ozdemir 원광대학교 기초자연과학연구소 2022 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.24 No.1
We define the concept of rough limit set of a triple sequence space of Chlodowsky type (λ, q)-Bernstein Stancu polynomials of fuzzy numbers and obtain the relation between the set of rough limit and the extreme limit points of a triple sequence space of Chlodowsky type (λ, q)-Bernstein Stancu polynomials of fuzzy numbers. Finally, we investigate some properties of the rough limit set of Bernstein Stancu polynomials.
On ideal convergence in locally solid Riesz spaces using lacunary mean
Bipan Hazarika,Ayhan Esi 장전수학회 2016 Proceedings of the Jangjeon mathematical society Vol.19 No.2
An ideal I is a family of subsets of positive integers N which is closed under finite unions and subsets of its elements. In this paper, we have intro- duced the concept of lacunary ideal τ-convergence, lacunary ideal τ-Cauchy and lacunary ideal τ-bounded sequence in locally solid Riesz space endowed with the topology τ.Some basic properties of these concepts has been investigated and prove the decomposition theorem. Further, we examine ideal τ-continuity of a mapping defined on locally solid Riesz space.
ROUGH TRIPLE SEQUENCES IN GRADUAL NORMED SPACES
Indumathi, Arulmani,Esi, Ayhan,Subramanian, Nagarajan The Honam Mathematical Society 2019 호남수학학술지 Vol.41 No.4
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.
RIESZ TRIPLE ALMOST LACUNARY χ<sup>3</sup> SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I
SUBRAMANIAN, N.,Esi, Ayhan,AIYUB, M. The Korean Society for Computational and Applied M 2019 Journal of applied mathematics & informatics Vol.37 No.1
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.
Rough triple sequences in gradual normed spaces
Arulmani Indumathi,Ayhan Esi,Nagarajan Subramanian 호남수학회 2019 호남수학학술지 Vol.41 No.4
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.
RIESZ TRIPLE ALMOST LACUNARY χ3 SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I
N. Subramanian,Ayhan Esi,M. Aiyub 한국전산응용수학회 2019 Journal of applied mathematics & informatics Vol.37 No.1
In this paper we introduce a new concept for Riesz almost lacunary χ3 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 χ3 sequence spaces and some inclusion theorems are discussed.
Applications of infinite matrices and λ-convergence for fuzzy sequence spaces
Kuldip Raj,Ayhan Esi,Sonali Sharma 원광대학교 기초자연과학연구소 2021 ANNALS OF FUZZY MATHEMATICS AND INFORMATICS Vol.21 No.3
In the present paper we study some applications of infinite matrices and $\lambda$-convergence of order $\alpha$ to introduce some Ideal convergent sequence spaces of fuzzy numbers by means of Orlicz function. We make an effort to study some algebraic and topological properties of these spaces. We also study some interesting inclusions relation between these spaces. Finally, we have prove that these spaces are normal as well as monotone and convergence free. We shall prove these results with the help of examples.
THE DIFFERENCE ORLICZ SPACE OF ENTIRE SEQUENCE OF FUZZY NUMBERS
Subramanian, Nagarajan,Esi, Ayhan Korean Mathematical Society 2010 대한수학회논문집 Vol.25 No.2
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.