Results 1 to 10 of about 277,196 (336)
Demonstratio Mathematica, 2014 In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence criteria associated with ...
Dündar Erdinç, Çakan Celal
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Lacunary I-invariant convergence
Cumhuriyet Science Journal, 2020 In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
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$I$ and $I^*$-convergence in topological spaces [PDF]
Mathematica Bohemica, 2005 Summary: We extend the idea of \(I\)-convergence and \(I^*\)-convergence of sequences to a topological space and derive several basic properties of these concepts in the topological space.
B. K. Lahiri, Pratulananda Das
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Universal Journal of Mathematics and ApplicationsThis paper presents a novel perspective on established neutrosophic statistical convergence by utilizing ideals and proposing new ideas. Specifically, we explore the neutrosophic $\mathcal{I}$-statistical convergence of sequences of neutrosophic random ...
Carlos Granados, Ömer Kişi
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A new type of difference I-convergent sequence in IFnNS [PDF]
Yugoslav Journal of Operations Research, 2023 In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also,
Khan Vakeel A. +2 more
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Further aspects of I K-convergence in topological spaces
Applied General Topology, 2021 In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential ...
Ankur Sharmah, Debajit Hazarika
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Rough I_((λ,μ) )-Statistical Convergence of Double Sequences in Gradual Normed Linear Spaces
Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022 The aim of this paper is to we examine the notion of gradually rough I_((λ,μ) )-statistical convergence of double sequences in gradual normed linear spaces (GNLS).
Chiranjib Choudhury, Ömer Kişi
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Riesz I–convergent sequence spaces
Proyecciones (Antofagasta), 2023 In this article we have introduced some new sequence spaces as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
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Lacunary I-Convergent Sequences [PDF]
Kyungpook mathematical journal, 2012 Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra +2 more
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On $A$-statistical convergence and $A$-statistical Cauchy via ideal
Karpatsʹkì Matematičnì Publìkacìï, 2022 In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
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