Results 1 to 10 of about 308,059 (99)

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

Yugoslav 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., Khan Izhar Ali, Ahmad Mobeen   +2 more
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Rough I_((λ,μ) )-Statistical Convergence of Double Sequences in Gradual Normed Linear Spaces

Süleyman 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
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Further aspects of I K-convergence in topological spaces

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

Karpatsʹkì 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
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Lacunary I-invariant convergence

Cumhuriyet 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
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On Neutrosophic Normed Spaces of I-Convergence DiferenceSequences Defned by Modulus Function [PDF]

Neutrosophic Sets and Systems
In this paper, we introduce the neutrosophic I-convergent difference sequence spaces I(Y) (∆) (f ) and I0(Y) (∆) (f ) defined by modulus function.
Vakeel A. Khan, Mohammad Arshad
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A Study on(λ−µ)Zweier Sequences and Their Behaviour in Neutrosophic Normed Spaces [PDF]

Neutrosophic Sets and Systems
Ideal convergence of sequences in neutrosophic normed spaces is defined by ¨Omer Ki¸si [12]. This paper defines new sequence spaces using the Zweier matrix and neutrosophic norm.
Vakeel A Khan, Mohd Faisal
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Regularly ideal invariant convergence of double sequences

Journal of Inequalities and Applications, 2021
In this paper, we introduce the notions of regularly invariant convergence, regularly strongly invariant convergence, regularly p-strongly invariant convergence, regularly ( I σ , I 2 σ ) $(\mathcal{I}_{\sigma },\mathcal{I}^{\sigma }_{2})$ -convergence ...
Nimet Pancaroǧlu Akın
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On Strongly Lacunary $\mathcal{I}_2^{\ast }$-Convergence and Strongly Lacunary $\mathcal{I}_2^{\ast }$-Cauchy Sequence

Universal Journal of Mathematics and Applications, 2023
In the study conducted here, we have given some new concepts in summability theory. In this sense, firstly, using the lacunary sequence we have given the concept of strongly $\mathcal{I}_{\theta_2}^{\ast}$-convergence and we have examined the relations ...
Esra Gülle, Nimet Pancaroğlu Akın, Erdinç Dündar   +2 more
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Asymptotically Lacunary I-Invariant Statistical Equivalence of Sequences of Sets Defined By A Modulus Function

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018
Inthis paper, we introduce the concepts of strongly asymptotically lacunary I-invariant equivalence, f-asymptoticallylacunary I-invariant equivalence, strongly f-asymptotically lacunary I-invariant equivalence and asymptotically lacunary I-invariant ...
Erdinç Dundar, Nimet P. Akın, Uğur Ulusu   +2 more
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