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Prof. Ayhan Esi
Department of Basic Engineering Sciences, Engineering Faculty, Malatya Turgut Ozal University, 44040, Malatya, Turkey
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24Years (2003-Present)
(Calculated once Scilit publication data is synced: current year − year of first publication + 1)
Representative Publications
View All Publications1 October 2007 in Mathematica Slovaca
Journal Article
In this paper we introduce a new type of difference operator Δ m n for fixed m, n ∈ ℕ. We define the sequence spaces ℓ∞(Δ m n ), c(Δ m n ) and c 0(Δ m n ) and study some topological properties of these spaces. We obtain some inclusion relations involving these sequence spaces. These notions generalize many earlier existing notions on difference sequence spaces.
1 January 2013 in Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
Journal Article
AEAyhan Esi
Ayhan EsiBHBipan Hazarika
Bipan HazarikaAn ideal I is a family of subsets of positive integers $\mathbb{N}$ which is closed under taking finite unions and subsets of its elements. In [8], Kostyrko et al., introduced the concept of ideal convergence as a sequence (x k ) of real numbers is said to be I-convergent to a real number $\ell$, if for each ϵ > 0 the set $\{k\in\mathbb{N}:|x_{k}-\ell|\geq\varepsilon\}$ belongs to I. The aim of this paper is to introduce and study the notion of λ-ideal convergence in intuitionistic fuzzy 2-normed space as a variant of the notion of ideal convergence. Also I λ -limit points and I λ -cluster points have been defined and the relation between them has been establish. Furthermore, Cauchy and I λ -Cauchy sequences are introduced and studied.
15 November 2020 in Advances in Difference Equations
Journal Article
In this paper, we employ an umbral method to reformulate the 3-variable Hermite polynomials and introduce the 4-parameter 3-variable Hermite polynomials. We also obtain some new properties for these polynomials. Moreover, some special cases are discussed and some concluding remarks are also given.
1 January 2017 in Filomat
Journal Article
BHBipan Hazarika
Bipan HazarikaAEAyhan Esi
Ayhan EsiIn this paper, we introduce some definitions which are natural combination of the notions of asymptotic equivalence, statistical convergence, lacunary statistical convergence, Wijsman convergence and ideal. In addition, we also define the concept of asymptotically equivalent sequences of sets in the sense ofWijsman convergence and prove some interesting results related to these concepts.
26 February 2014 in Acta Scientiarum. Technology
Journal Article
AEAyhan Esi
Ayhan EsiStatistical and lacunary statistical convergence of interval numbers in topological groups
About Me
Prof. Dr. Ayhan Esi is a Professor at the Engineering Faculty, Department of Basic Engineering Science, Malatya Turgut Ozal University. He got his B.Sc. from Inonu University in 1987, and his M.Sc. and Ph.D. degrees in Pure Mathematics from Elazig University, Turkey, in 1990 and 1995, respectively. In 2000, he was appointed to the Education Faculty at Gaziantep University. Then, he was appointed as the head of the Department of Mathematics in the Science and Art Faculty in Adiyaman at Inonu University in 2002. In 2006, he joined the Department of Mathematics at Adiyaman University and went to Malatya Turgut Ozal University in March 2020. His impressive career boasts over 170 publications, accumulating over 1000 citations. His research interests include summability theory, sequences, and series in analysis and functional analysis.