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On generalized statistical convergence of sequences of functions via ideals in intuitionistic fuzzy normed spaces [PDF]

open access: yes
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
core   +3 more sources

Applications of the statistical convergence and of the ideals in integration

International Conference on Contemporary Academic Research, 2023
In 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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Lacunary statistical convergence of rough triple sequence via ideals

Asian-European Journal of Mathematics, 2023
In 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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SOME INSIGHTS INTO WEIGHTED IDEAL STATISTICAL CONVERGENCE OF FUZZY VARIABLES IN CREDIBILITY SPACES

open access: yes
This paper investigates different forms of weighted ideal statistical convergence for double sequences of fuzzy variables within the framework of credibility. Furthermore, illustrative examples are provided to analyze the relationships among these fuzzy variable double sequences.
Kişi, Özgür   +2 more
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On Generalized Statistical and Ideal Convergence of Metric-Valued Sequences

Ukrainian Mathematical Journal, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Das, Pratulananda, Savaş, Ekrem
openaire   +3 more sources

On generalized statistical convergence of double sequences via ideals

ANNALI DELL'UNIVERSITA' DI FERRARA, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Belen C., Yildirim M.
openaire   +2 more sources

On Generalized Statistically Convergent Functions via Ideals

Applied Mathematics & Information Sciences, 2016
In 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.
openaire   +2 more sources

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