Results 1 to 10 of about 75,293 (284)
On ideal equal convergence [PDF]
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 ideal convergence of rough triple sequence [PDF]
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 +2 more
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A New Notion of Fuzzy Function Ideal Convergence
P.M. Pu and Y.M. Liu extended Moore-Smith’s convergence of nets to fuzzy topology and Y.M. Liu provided analogous results to J. Kelley’s classical characterization theorem of net convergence by introducing the notion of fuzzy convergence classes.
Dimitrios Georgiou, Georgios Prinos
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Ideal Convergence of Random Variables [PDF]
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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Ideal coconvergence is a generalization of statistical convergence, introduced by Fast and Steinhaus [\textit{H. Fast}, Colloq. Math. 2, 241--244 (1951; Zbl 0044.33605)] and \textit{I. J. Schoenberg} [Am. Math. Mon. 66, 361--375, 562--563 (1959; Zbl 0089.04002)], having applications in number theory, functional analysis and measure theory, among others.
Marcin Staniszewski
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On Copson Ideal Convergent Sequence Spaces [PDF]
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 +5 more
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Statistical and Ideal Convergences in Topology
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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Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]
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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Statistical convergence and ideal convergence for sequences of functions
The paper discusses various types of statistical convergence and ideal convergence for sequences of functions with real values or with values in a more general metric space. The authors present very thoroughly the definitions and types of ideal convergence for functions and prove several results regarding ideal pointwise and ideal uniform convergence ...
Marek Balcerzak, Andrzej Komisarski
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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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