Yazar "Esi, Ayhan" seçeneğine göre listele

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    Asymptotically double λ2-statistically equivalent sequences of interval numbers
    (Editura Academiei Române, 2020) Esi, Ayhan; Debnath, Shyamal; Saha, Subrata
    In this paper we have introduced the concept of ?2-asymptotically double statistical equivalent of interval numbers and strong ?2-asymptotically double statistical equivalent of interval numbers. We have investigated the rela-tions related to these spaces. © 2020, Publishing House of the Romanian Academy. All rights reserved.
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    Continuous and bounded linear operators in neutrosophic normed spaces
    (IOS Press, 2021) Khan, Vakeel A.; Esi, Ayhan; Ahmad, Mobeen; Daud Khan, Mohammad
    In this article, we show that the addition and scalar multiplication in neutrosophic normed spaces are continuous. The neutrosophic boundedness and continuity of linear operators between neutrosophic normed spaces are examined. Moreover, we analyzed that the set of all neutrosophic continuous linear operators and the set of all neutrosophic bounded linear operators from neutrosophic normed spaces into another are vector spaces.
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    Identities involving 3-variable Hermite polynomials arising from umbral method
    (Springer, 2020) Raza, Nusrat; Zainab, Umme; Aracı, Serkan; Esi, Ayhan
    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.
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    Invariant convergent and invariant ideal convergent sequence in intuitionistic fuzzy normed space
    (IOS Press, 2022) Khan, Vakeel A.; Ali Khan, Izhar; Esi, Ayhan; Alam, Masood
    The main purpose of this paper is to introduce invariant convergence in intuitionistic fuzzy normed space. Following which we present some characteristics of this notion with respect to intuitionistic fuzzy norm. We also define strongly invariant convergence, ideal invariant convergence and invariant ideal convergence in intuitionistic fuzzy normed space. After that, we establish the relationship between these notions with respect to intuitionistic fuzzy norm. Lastly, we define ideal invariant Cauchy and invariant ideal Cauchy criteria for sequences in intuitionistic fuzzy normed space and relate it to their convergence notion.
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    On Asymptotically Wijsman (λ,σ)-Statistical Convergence of Set Sequences
    (The Mathematical Association of Thailand, 2021) Hazarika, Bipan; Esi, Ayhan
    In this paper we presents three definitions which is a natural combination of the definition of asymptotic equivalence, statistical convergence, (?, ?)-statistical convergence and Wijsman convergence. In addition, we also present asymptotically equivalent sequences of sets in sense of Wijsman and study some properties of this concept.
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    On extremal rough i-convergence limit point of triple sequence spaces defined by a metric function
    (Korean Society for Computational and Applied Mathematics, 2020) Subramanian, Nagarajan; Esi, Ayhan; Debnath, Shyamal
    We introduce and study some basic properties of rough I-convergent of triple sequence spaces and also study the set of all rough I-limits of a triple sequence spaces.
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    On ideally slowly oscillating continuity in abstract space
    (Chiang Mai University, 2021) Hazarika, Bipan; Esi, Ayhan
    In this paper, we introduce the notion of ideally slowly oscillating sequences, which is lying between ideal convergent and ideal quasi-Cauchy sequences, and study on ideally slowly oscillating continuous functions in topological vector space valued cone metric space. Also we introduce the notion of strongly continuous on topological vector space valued cone metric space and investigated some new results related to this notion.
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    On rough convergence variables of triple sequences
    (De Gruyter, 2020) Subramanian, Nagarajan; Esi, Ayhan
    Triple sequence convergence plays an extremely important role in the fundamental theory of mathematics. This paper contains four types of convergence concepts, namely, convergence almost surely, convergence incredibility, trust convergence in mean, and convergence in distribution, and discuss the relationship among them and some mathematical properties of those new convergence.
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    On the generating function for bernstein polynomials of triple sequences
    (Valahia University of Targoviste, 2021) Indumathi, Arulmani; Esi, Ayhan; Subramanian, Nagarajan
    The aim of this paper is to give main properties of the generating function of the Bernstein polynomials of triple sequence spaces. It was proved the recurrence relations and derivative formula for Bernstein polynomials of triple sequences. Further more, some new results are obtained by using this generating function of these polynomials.
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    Rough variation on lacunary quasi Cauchy triple difference sequences
    (Walter de Gruyter, 2021) Subramanian, Nagarajan; Esi, Ayhan
    In the present paper, we extend the notion of rough ideal lacunary statistical quasi Cauchy triple difference sequence of order ? using the concept of ideals, which automatically extends the earlier notions of rough convergence and rough statistical convergence. We prove several results associated with this notion.
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    Some results on wijsman ideal convergence in intuitionistic fuzzy metric spaces
    (Hindawi, 2020) Esi, Ayhan; Khan, Vakeel Ahmad; Ahmad, Mobeen; Alam, Masood
    In the present work, we study and extend the notion of Wijsman J-convergence and Wijsman J*-convergence for the sequence of closed sets in a more general setting, i.e., in the intuitionistic fuzzy metric spaces (briefly, IFMS). Furthermore, we also examine the concept of Wijsman J*-Cauchy and J-Cauchy sequence in the intuitionistic fuzzy metric space and observe some properties.
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    Spaces Of Fibonacci Difference Ideal Convergent Sequences In Random 2–Normed Space
    (Unıvercıty of Nis, 2021) A. Khan, Vakeel; Altaf, Henna; Esi, Ayhan; Alshlool, Kamal MAS
    In this article, by using Fibonacci difference matrix and the notion of ideal convergence of sequences in random 2–normed space, we introduce some new spaces of Fibonacci difference ideal convergent sequences with respect to random -norm and study some inclusion relations, topological and algebraic properties of these spaces.