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Lacunary statistical convergence of rough triple sequence via ideals
Asian-European Journal of Mathematics, 2023In this paper, we have introduced the notion of the lacunary [Formula: see text]-statistical convergence of triple sequences for rough variables. In addition, we have defined lacunary [Formula: see text]-statistical Cauchy sequence of rough variables in trust space and given the lacunary [Formula: see text]-statistical completeness for trust space ...
Savas, Ekrem +2 more
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Applications of the statistical convergence and of the ideals in integration
International Conference on Contemporary Academic Research, 2023In this paper we relativize the concept of statistical Pettis Integration and we propose on typeof Pettis integration in concept of ideal convergence. We obtain some properties of ideal Pettis integrationwhich are well known for the statistical Pettis integration on Banach space.
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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 ...
Kişi, Ömer +2 more
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On Generalized Statistical and Ideal Convergence of Metric-Valued Sequences
Ukrainian Mathematical Journal, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Pratulananda, Savaş, Ekrem
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On generalized statistical convergence of double sequences via ideals
ANNALI DELL'UNIVERSITA' DI FERRARA, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belen C., Yildirim M.
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On Generalized Statistically Convergent Functions via Ideals
Applied Mathematics & Information Sciences, 2016In this paper, we introduce the notions of [V, ?]-summability and ?-statistical convergence of function by taking a nonnegative real-valued Lebesque measurable function in the interval (1, ?) and introduce new notions, namely, [V, ? ] (I)- summability, and I?-statistical convergence of function.
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On lacunary statistical \(\phi \)-convergence for triple sequences of sets via ideals
2022Summary: In the present paper, we introduce some new notions of Wijsman \({\mathcal{I}}\)-statistical convergence with the use of Orlicz function, lacunary sequence and triple sequences of sets, and obtain some analogous results from the new definitions point of views.
Demirci, Işil Açik, GÜRDAL, Mehmet
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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 ?
Kişi, Ömer +4 more
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On $${\lambda }$$-Ideal Statistical Convergence of Weighted h for Multiple Sequences
2020The goal of this paper is to extend the recently introduced summability method of [21] and present the new notion, namely, \(\mathcal {I}_{\lambda }\)-double statistical convergence of weight h via ideal.
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An Investigation on µ-Deferred Triple Ideal Statistically Convergent Sequences in Credibility Space
Proceedings of the National Academy of Sciences, India Section A: Physical SciencesThe primary objective of this paper is to explore various forms of deferred convergence for triple sequences of fuzzy variables (FV), incorporating the concepts of ideal convergence and mu -density. We also establish a number of instances to illustrate our definitions.
Binod Chandra Tripathy +2 more
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