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In this research article, using the concepts of deferred density and the notion of the ideal I, we extend the idea of rough convergence by introducing the notion of deferred I-statistical rough convergence via difference operators in the framework of ...
V. Khan, Rahaman Ashadul, B. Hazarika
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In this research article, using the concepts of deferred density and the notion of the ideal I, we extend the idea of rough convergence by introducing the notion of deferred I-statistical rough convergence via difference operators in the framework of ...
V. Khan, Rahaman Ashadul, B. Hazarika
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On Ideal Lacunary Statistical Convergence of Sequence in Gradual Normed Linear Spaces Order α
Rabia Savaş
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Strong Ideal convergence in topological spaces
Sarajevo Journal of MathematicsWe define two convergence techniques in this study: statistical $A_{\mathcal{T}} $-strong convergence and $ A^{\mathcal{I}}_{\mathcal{T}} $-strong convergence, both of which are generalizations of $A_{\mathcal{T}} $-strong convergence in Hausdorff ...
Sudipta Dutta, Rima Ghosh
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Double ideal lacunary statistical convergence in topological groups
2018In this paper, we introduce new notion, namely, I-la-cunary double statistical convergence in topological groups . We also investigate some inclusion relations between I-double statistical and I-lacunary double statistical convergence. © 2018 Advanced Studies in Contemporary Mathematics (Kyungshang). All rights reserved.
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Some results concerning ideal and classical uniform integrability and mean convergence
Collectanea Mathematica, 2021Nour Al Hayek +4 more
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Ideal convergence of sequences in neutrosophic normed spaces
Journal of Intelligent & Fuzzy Systems, 2021Ö. Kişi
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A GENERALIZED STATISTICAL CONVERGENT FUNCTIONS VIA IDEALS IN INTUITIONISTIC FUZZY NORMED SPACES
2020WOS ...
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ON GENERALIZED STATISTICAL CONVERGENCE OF ORDER ˜? VIA IDEAL WITH RESPECT TO MODULUS FUNCTION
In this paper, we define new notions of (f, I)-statistical convergence for triple sequences of order ? and strong (f, I)-Cesàro summability for triple sequences of order ?. Furthermore, we examine the relationships among the spaces. Additionally, we present the concepts of (f, I)-lacunary statistical convergence of order ?Kı?şı?, Ömer +2 more
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The idea of statistical convergence had been extended to ideal convergence by \textit{P. Kostyrko} et al. in [Real Anal. Exch. 26, No. 2, 669--685 (2001; Zbl 1021.40001)] with the help of ideals. This approach is much more general as most of the known convergence methods become special cases, but many questions regarding this convergence still remain ...
Kı?şı?, Ömer +2 more
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Kı?şı?, Ömer +2 more
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Multidimensional statistical convergence of functions via ideal
Rabia Savaş, Richard F. Patterson
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