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Rough I-Convergence

open access: yesDemonstratio Mathematica, 2014
In this work, using the concept of I-convergence and using the concept of rough convergence, we introduced the notion of rough I-convergence and the set of rough I-limit points of a sequence and obtained two rough I-convergence criteria associated with ...
Dündar Erdinç, Çakan Celal
doaj   +5 more sources

A new type of difference I-convergent sequence in IFnNS [PDF]

open access: yesYugoslav Journal of Operations Research, 2023
In this paper, we introduce the notion of a generalized difference I-convergent (i.e.Δm-I-convergent) and difference I-Cauchy (i.e.Δm-I-Cauchy) sequence in intuitionistic fuzzy n-normed spaces. Further, we prove some results related to this notion. Also,
Khan Vakeel A.   +2 more
doaj   +1 more source

Further aspects of I K-convergence in topological spaces

open access: yesApplied General Topology, 2021
In this paper, we obtain some results on the relationships between different ideal convergence modes namely, I K, I K∗ , I, K, I ∪ K and (I ∪K) ∗ . We introduce a topological space namely I K-sequential space and show that the class of I K-sequential ...
Ankur Sharmah, Debajit Hazarika
doaj   +1 more source

Rough I_((λ,μ) )-Statistical Convergence of Double Sequences in Gradual Normed Linear Spaces

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
The aim of this paper is to we examine the notion of gradually rough I_((λ,μ) )-statistical convergence of double sequences in gradual normed linear spaces (GNLS).
Chiranjib Choudhury, Ömer Kişi
doaj   +1 more source

Riesz I–convergent sequence spaces

open access: yesProyecciones (Antofagasta), 2023
In this article we have introduced some new sequence spaces  as a domain of triangular Riesz matrix, and study some of their algebraic and topological properties. Further, our work will devote to argue some inclosions regarding those fore-said sequence spaces.
Khan, Vakeel A., Rahman, Zahid
openaire   +3 more sources

Lacunary I-Convergent Sequences [PDF]

open access: yesKyungpook mathematical journal, 2012
Summary: In this article we introduce the concepts of lacunary \(I\)-convergent sequences. We investigate its different properties like solid, symmetric, convergence free etc.
Tripathy, Binod Chandra   +2 more
openaire   +1 more source

On $A$-statistical convergence and $A$-statistical Cauchy via ideal

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
In [Analysis 1985, 5 (4), 301-313], J.A. Fridy proved an equivalence relation between statistical convergence and statistical Cauchy sequence. In this paper, we define $A^{I^{\ast }}$-statistical convergence and find under certain conditions, that it is ...
O.H. Edely, M. Mursaleen
doaj   +1 more source

I-convergent triple fuzzy normed spaces

open access: yesProyecciones (Antofagasta), 2022
In this paper we introduce the lacunary ideal convergence of triple sequences in fuzzy normed spaces and the relation between lacunary convergence and lacunary ideal convergence is investigated for triple sequences in fuzzy normed spaces. Concept of limit point and cluster point for triple sequences in fuzzy normed spaces and theorems related to these ...
Jalal, Tanweer, Malik, Ishfaq Ahmad
openaire   +2 more sources

Lacunary I-invariant convergence

open access: yesCumhuriyet Science Journal, 2020
In this study, firstly, we introduce the notion of lacunary invariant uniform density of any subset E of the set N (the set of all natural numbers). Then, as associated with this notion, we give the definition of lacunary I_σ-convergence for
Fatih Nuray, Uğur Ulusu
doaj   +1 more source

On Zweier I-convergent sequence spaces [PDF]

open access: yesProyecciones (Antofagasta), 2017
In this article we introduce the Zweier I-convergent sequence spaces . We prove the decomposition theorem and study topo-logical, algebraic properties and have established some inclusion relations of these spaces.
Khan, Vakeel A   +2 more
openaire   +3 more sources

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