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On ideal convergence of rough triple sequence [PDF]
E-Journal of Analysis and Applied Mathematics, 2022 In this paper, we present the ideal convergence of triple sequences for rough variables. Furthermore, sequence convergence plays an extremely important role in the fundamental theory of mathematics.
Ömer Kişi +2 more
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On Ideal Convergence in Generalized Metric Spaces [PDF]
Dera Natung Government College Research Journal, 2023 Our main goal in this paper is to introduce the concept of ideal convergence in G-metric spaces. We give definitions of GI-convergence and GI*-convergence in G-metric spaces. We also extend the I-convergence concept's properties to GI-convergence.
Saime Kolancı, Mehmet Gurdal
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Statistical and Ideal Convergences in Topology
Mathematics, 2023 The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
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On ideal equal convergence [PDF]
Open Mathematics, 2014 AbstractWe consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472].
Filipów Rafał, Staniszewski Marcin
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On (λ,μ)- Zweier ideal convergence in intuitionistic fuzzy normed space [PDF]
Yugoslav Journal of Operations Research, 2020 In this paper, we study and introduce a new type of convergence, namely (λ,μ)- Zweier convergence and (λ,μ)- Zweier ideal convergence of double sequences x = (xij) in intuitionistic fuzzy normed space (IFNS), where λ = (λn) and μ= (μm) are two non ...
Khan Vakeel A., Ahmad Mobeen
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On ideal convergence Fibonacci difference sequence spaces
Advances in Difference Equations, 2018 The Fibonacci sequence was firstly used in the theory of sequence spaces by Kara and Başarir (Casp. J. Math. Sci. 1(1):43–47, 2012). Afterward, Kara (J. Inequal. Appl.
Vakeel A. Khan +4 more
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A New Notion of Fuzzy Function Ideal Convergence
MathematicsP.M. Pu and Y.M. Liu extended Moore-Smith’s convergence of nets to fuzzy topology and Y.M. Liu provided analogous results to J. Kelley’s classical characterization theorem of net convergence by introducing the notion of fuzzy convergence classes.
Dimitrios Georgiou, Georgios Prinos
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Ideal Convergence and Completeness of a Normed Space
Mathematics, 2019 We aim to unify several results which characterize when a series is weakly unconditionally Cauchy (wuc) in terms of the completeness of a convergence space associated to the wuc series.
Fernando León-Saavedra +3 more
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Representation of Ideal Convergence as a Union and Intersection of Matrix Summability Methods
Journal of Mathematical Analysis and Applications, 2020 We characterize ideals on N for which the ideal limit function is representable as an intersection (union resp.) of matrix summability methods. More specifically, we characterize ideals I for which there is a family M of matrices such that a sequence x ...
Rafał Filipów, Jacek Tryba
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I-Statistical Rough Convergence of Order α
Journal of New Theory, 2022 The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
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