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Ideal Convergence of Random Variables [PDF]

Journal of Function Spaces and Applications, 2013
The aim of this paper is to introduce and study the notion of I-convergence of random variables via probabilistic norms. Furthermore, we introduce I-convergence in Lp space and establish some interesting results.
B. Hazarika, S. A. Mohiuddine
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On ideal equal convergence [PDF]

Open Mathematics, 2014
AbstractWe consider ideal equal convergence of a sequence of functions. This is a generalization of equal convergence introduced by Császár and Laczkovich [Császár Á., Laczkovich M., Discrete and equal convergence, Studia Sci. Math. Hungar., 1975, 10(3–4), 463–472].
Filipów Rafał, Staniszewski Marcin
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On Copson Ideal Convergent Sequence Spaces [PDF]

Sahand Communications in Mathematical Analysis
The present work is an investigation of some new sequence spaces $c^{I}_{0}\left(C\right)$, $c^{I}\left(C\right)$, $\ell^{I}_{\infty}\left(C\right)$ and $\ell_{\infty}\left(C\right)$ as a domain of the triangle Copson matrix via ideal convergence over an
Mohammad Idrisi, Nazneen Khan, Kavita Saini, Mobeen Ahmad, ‌ Yasmeen, Manal Labadi   +5 more
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Statistical and Ideal Convergences in Topology

Mathematics, 2023
The notion of convergence wins its own important part in the branch of Topology. Convergences in metric spaces, topological spaces, fuzzy topological spaces, fuzzy metric spaces, partially ordered sets (in short, posets), and fuzzy ordered sets (in short,
D. Georgiou, G. Prinos, F. Sereti
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Some new lacunary statistical convergence with ideals [PDF]

Journal of Inequalities and Applications, 2017
In this paper, the idea of lacunary I λ $I_{\lambda}$ -statistical convergent sequence spaces is discussed which is defined by a Musielak-Orlicz function.
Adem Kilicman, Stuti Borgohain
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Ideal convergence [PDF]

, 2013
Udostępnienie publikacji Wydawnictwa Uniwersytetu Łódzkiego finansowane w ramach projektu „Doskonałość naukowa kluczem do doskonałości kształcenia”. Projekt realizowany jest ze środków Europejskiego Funduszu Społecznego w ramach Programu Operacyjnego Wiedza Edukacja Rozwój; nr umowy: POWER.03.05.00-00-Z092/17-00.
Filipów, Rafał, Natkaniec, Tomasz, Szuca, Piotr   +2 more
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On ideal convergence of rough triple sequence [PDF]

E-Journal of Analysis and Applied Mathematics, 2022
In this paper, we present the ideal convergence of triple sequences for rough variables. Furthermore, sequence convergence plays an extremely important role in the fundamental theory of mathematics.
Ömer Kişi, Mehmet Gürdal, Ekrem Savaş   +2 more
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I-Statistical Rough Convergence of Order α

Journal of New Theory, 2022
The aim of this paper is to define the concept of I-statistical (I-st) rough convergence of order α (0 < α ≤ 1). It proposes the concept of I-st bounded of order α.
Sevcan Bulut, Aykut Or
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A NEW APPROACH TO EGOROV’S THEOREM BY MEANS OF 𝛼𝛽-STATISTICAL IDEAL CONVERGENCE

Проблемы анализа, 2022
In this work, we introduce the 𝛼𝛽-statistical pointwise ideal convergence, 𝛼𝛽-statistical uniform ideal convergence, and 𝛼𝛽-equi-statistical ideal convergence for sequences of fuzzy-valued functions.
Sonali Sharma, Kuldip Raj
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On Rough $\mathcal{I}$-Convergence and $\mathcal{I}$-Cauchy Sequence for Functions Defined on Amenable Semigroups

Universal Journal of Mathematics and Applications, 2023
In this paper, firstly we introduced the concepts of rough $\mathcal{I}$-convergence, rough $\mathcal{I}^*$-convergence, rough $\mathcal{I}$-Cauchy sequence, and rough $\mathcal{I}^*$-Cauchy sequence of a function defined on discrete countable amenable ...
Erdinç Dündar, Uğur Ulusu
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