Results 231 to 240 of about 15,999 (262)

Strong Γ-Statistical Convergence in Probabilistic Normed Spaces

Acta Mathematica Vietnamica, 2015
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ŞENÇİMEN, CELALEDDİN, PEHLİVAN, Serpil   +1 more
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A convergence theory for probabilistic metric spaces

Quaestiones Mathematicae, 2015
We develop a theory of probabilistic convergence spaces based on Tardiff’s neighbourhood systems for probabilistic metric spaces. We show that the resulting category is a topological universe and we characterize a subcategory that is isomorphic to the category of probabilistic metric spaces.Keywords: Probabilistic metric space, probabilistic ...
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Lacunary statistically convergent double sequences in probabilistic normed spaces

ANNALI DELL'UNIVERSITA' DI FERRARA, 2012
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Mohiuddine, S.A., Savaş, Ekrem
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On Generalized Difference Ideal Convergence in Generalized Probabilistic n-normed Spaces

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2019
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Tripathy, Binod Chandra, Sen, Mausumi, Nath, Soumitra   +2 more
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I-statistical convergence in probabilistic normed spaces

2020
In this paper, we introduce a new type of summability notion, namely, I - statistical convergence and I -lacunary statistical convergence for double sequences in probabilistic normed space, which is a natural generalization of the notion of natural density, statistical convergence and lacunary statistical convergence using the notion of ideals of the ...
GÜRDAL, Mehmet, Savas, Ekrem
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Statistical convergence on probabilistic modular spaces

2014
Summary: We introduce the concepts of statistical convergence and statistical Cauchy sequence on probabilistic modular spaces. After giving some useful characterizations for statistically convergent sequences, we display an example such that our method of convergence works but its classical case does not work.
Orhan, Sevda, Dirik, Fadime, Demirci, Kamil   +2 more
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μ-Statistically Convergent Multiple Sequences in Probabilistic Normed Spaces

2018
In this article, we introduce the notions of μ-statistically convergent and μ-statistically Cauchy multiple sequences in probabilistic normed spaces (in short PN-spaces). We also give a suitable characterization for μ-statistically convergent multiple sequences in PN-spaces.
Rupam Haloi, Mausumi Sen
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$$\mu $$-Statistical Convergence of Sequences in Probabilistic n-Normed Spaces

2020
In this article, using the notion of a two-valued measure \(\mu \), we propose the ideas of \(\mu \)-statistical convergence and \(\mu \)-density convergence in probabilistic n-normed spaces and study some of their properties in probabilistic n-normed spaces.
Rupam Haloi, Mausumi Sen
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Statistical convergence of triple sequences on probabilistic normed space

2020
The concept of statistical convergence was presented by Fast [7]. This concept was extended to the double sequences by Mursaleen and Edely [21]. In this paper, we dene statistical analogues of convergence and Cauchy for triple sequences on probabilistic normed space.
Savaş, Ekrem, Ertürk, Müzeyyen
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On lacunary statistically convergent triple sequences in probabilistic normed space

2020
In this paper we study the concept of lacunary statistical convergent triple sequences in probabilistic normed spaces and prove some basic properties. © 2015 NSP Natural Sciences Publishing Cor.
Ertürk, Müzeyyen, Savaş, Ekrem
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