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New Perspectives on Generalised Lacunary Statistical Convergence of Multiset Sequences

open access: yesMathematics
This paper explores the concepts of J-lacunary statistical limit points, J-lacunary statistical cluster points, and J-lacunary statistical Cauchy multiset sequences.
María C. Listán-García   +2 more
doaj   +2 more sources

On Generalized Difference Rough Ideal Statistical Convergence in Neutrosophic Normed Spaces [PDF]

open access: yesNeutrosophic Sets and Systems
This article’s main goal is to provide and investigate a novel statistical convergence generalisation for generalized difference sequences in Neutrosophic Normed Spaces (NNS) called rough ideal statistical convergence.
Manpreet Kaur, Meenakshi Chawla
doaj   +2 more sources

Some Observations on g-Metric Spaces in Light of Generalized Statistical Convergence of Double Sequences via Ideals

open access: bronzeInternational Conference on Applied Engineering and Natural Sciences, 2023
In this article, we delve into the notions of I2-statistical convergence and I2-lacunary statistical convergence for sequences in general metric spaces, specifically g metric spaces. We thoroughly explore these concepts within the realm of g-metric spaces.
Ömer Kı̇şı̇, Erhan Güler
openalex   +3 more sources

Statistical convergence and ideal convergence for sequences of functions

open access: closedJournal of Mathematical Analysis and Applications, 2006
The paper discusses various types of statistical convergence and ideal convergence for sequences of functions with real values or with values in a more general metric space. The authors present very thoroughly the definitions and types of ideal convergence for functions and prove several results regarding ideal pointwise and ideal uniform convergence ...
Marek Balcerzak   +2 more
openalex   +2 more sources

A generalized statistical convergence via ideals

open access: closedApplied Mathematics Letters, 2011
The notion of \(\lambda\)-statistical convergence was introduced by \textit{Mursaleen} [Math. Slovaca 50, No.~1, 111--115 (2000; Zbl 0953.40002)] as an extension of the \([V, \lambda]\) summability of \textit{L. Leindler} [Publ. Math. 10, 274--282 (1964; Zbl 0129.05002)]. The authors introduce the concepts of \(I\)-\([V, \lambda]\)-summability and \(I\)
Ekrem Savaș, Pratulananda Das
openalex   +2 more sources

On λ-ideal statistical convergence in fuzzy cone normed spaces

open access: diamondActa et commentationes Universitatis Tartuensis de mathematica
In this paper, we have presented and explored the λ-ideal statistical convergence for sequences on fuzzy cone normed spaces. The related topological and geometrical properties are demonstrated with examples.
Reena Antal, Reena Antal
openalex   +3 more sources

Riesz Triple Fuzzy Ideal of Almost Lacunary Cesàro C111 statistical convergence of χ 3 defined by a Musielak Orlicz function

open access: green, 2017
In this paper we introduce a new concept for Riesz Fuzzy ideal of almost lacunary Cesàro statistical convergence of χ 3 sequence spaces strong P- convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces.
Vandana   +2 more
openalex   +2 more sources

ℐ-αβ-statistical relative uniform convergence for double sequences and its applications

open access: yesDemonstratio Mathematica
This article introduces a novel concept of convergence, referred to as ℐ{\mathcal{ {\mathcal I} }}-αβ\alpha \beta -statistical relative uniform convergence, for double sequences of functions.
Bayram Nilay Sahin, Yıldız Sevda
doaj   +2 more sources

Ideal (I2) Convergence in Fuzzy Paranormed Spaces for Practical Stability of Discrete-Time Fuzzy Control Systems Under Lacunary Measurements

open access: yesAxioms
We investigate the stability of linear discrete-time control systems with a fuzzy logic feedback under sporadic sensor data loss. In our framework, each state measurement is a fuzzy number, and occasional “packet dropouts” are modeled by a lacunary ...
Muhammed Recai Türkmen   +1 more
doaj   +2 more sources

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