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On deferred I-statistical rough convergence of difference sequences in intuitionistic fuzzy normed spaces

Filomat
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
semanticscholar   +1 more source

Strong Ideal convergence in topological spaces

Sarajevo Journal of Mathematics
We 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
semanticscholar   +1 more source

Double ideal lacunary statistical convergence in topological groups

2018
In 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.
openaire   +1 more source

Some results concerning ideal and classical uniform integrability and mean convergence

Collectanea Mathematica, 2021
Nour Al Hayek   +4 more
semanticscholar   +1 more source

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
openaire   +1 more source

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

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
openaire   +2 more sources

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