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A study on convergence and ideal convergence classes
Topology and its Applications, 2018 Let X be a non-empty set. We introduce semi-convergence classes on X in order to obtain a modification of classical Kelley's theorem. Subsequently, we do some further investigations on ideal convergence classes (see [7] ).
D. Georgiou, A. Megaritis, G. Prinos
semanticscholar +3 more sources
On Intuitionistic Fuzzy Metric Space and Ideal Convergence of Triple Sequence Space [PDF]
Sahand Communications in Mathematical Analysis, 2023 The purpose of this article is to introduce the triple sequences and its convergence over instuitionistic fuzzy metric space (\textbf{IFMS}). The article also discusses ideal convergence of triple sequences, the uniqueness of ideal limits, the ...
Shailendra Pandit, Ayaz Ahmad, Ayhan Esi
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, 2011 Statistical convergence has several applications in different fields of Mathematics: Number theory, trigonometric series, summability theory, probability theory, measure theory, optimization and approximation theory. The notion of ideal convergence corresponds to a generalization of the statistical convergence. In this paper, we define the ?^{m}(c_{I})
Gümüş, Hafize Gök, Nuray, Fatih
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Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 2011 We present various kinds of statistical convergence and ℐ-convergence for sequences of functions with values in 2-normed spaces and obtain a criterion for ℐ-convergence of sequences of functions in 2-normed spaces.
Saeed Sarabadan, Sorayya Talebi
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Notices of the American Mathematical Society, 2021 This article aims to provide a glimpse of noncommutative metric geometry by introducing some of the main structures involved and examples stemming from physics and C*-algebra theory.
Konrad Aguilar +3 more
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On the Ideal Convergence of Double Sequences in Locally Solid Riesz Spaces [PDF]
Abstract and Applied Analysis, 2014 The aim of this paper is to define the notions of ideal convergence, I-bounded for double sequences in setting of locally solid Riesz spaces and study some results related to these notions. We also define the notion of I*-convergence for double sequences
A. Alotaibi +2 more
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, 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 +2 more
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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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Convergence of positive series and ideal convergence [PDF]
Annales Mathematicae et Informaticae, 2020 Summary: Let \(\mathcal{I}\subseteq 2^{\mathbb {N}}\) be an admissible ideal, we say that a sequence \((x_n)\) of real numbers \(\mathcal{I}\)-converges to a number \(L\), and write \(\mathcal{I}\)-$\lim x_n = L\), if for each \(\varepsilon >0\) the set \(A_{\varepsilon}=\{n:\vert x_n-L\vert \ge \varepsilon\}\) belongs to the ideal \(\mathcal{I}\).
Baláž, Vladimír +3 more
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Topology and its Applications, 2017 The authors use ideal convergence (\(\mathcal I\)-convergence), where \(\mathcal I\) is a \(D\)-admissible proper ideal on a directed set \(D\), to define \(\mathcal I\)-convergence classes. Several results in this context are obtained. In the main result of the paper (Theorem 4.3) it is shown how \(\mathcal I\)-convergence classes on a set \(X ...
D. Georgiou +3 more
semanticscholar +2 more sources