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On ideal equal convergence [PDF]

open access: yesOpen 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
doaj   +4 more sources

On ideal convergence of rough triple sequence [PDF]

open access: yesE-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   +2 more
doaj   +2 more sources

A New Notion of Fuzzy Function Ideal Convergence

open access: yesMathematics
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
doaj   +4 more sources

Ideal Convergence of Random Variables [PDF]

open access: yesJournal 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
doaj   +2 more sources

On ideal equal convergence II

open access: yesJournal of Mathematical Analysis and Applications, 2017
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
exaly   +5 more sources

On Copson Ideal Convergent Sequence Spaces [PDF]

open access: yesSahand 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   +5 more
doaj   +2 more sources

Statistical and Ideal Convergences in Topology

open access: yesMathematics, 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
doaj   +2 more sources

Statistical Convergence and Ideal Convergence of Sequences of Functions in 2-Normed Spaces [PDF]

open access: yesInternational 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
doaj   +3 more sources

Statistical convergence and ideal convergence for sequences of functions

open access: yesJournal of Mathematical Analysis and Applications, 2007
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
exaly   +2 more sources

Ideal convergence [PDF]

open access: yes, 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
  +6 more sources

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