Results 251 to 260 of about 597,731 (267)

A study on convergence and ideal convergence classes

Topology and its Applications, 2018
It is well known that topologies can be described by specifying which nets should converge to which points in the underlying set, see \textit{J. L. Kelley} [Duke Math. J. 17, 277--283 (1950; Zbl 0038.27003); General topology. Reprint of the 1955 original published by van Nostrand. Mineola, NY: Dover Publications (2017; Zbl 1358.54001)].
Georgiou, D. N., Megaritis, A. C., Prinos, G. A.   +2 more
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Ideal convergence versus matrix summability

Studia Mathematica, 2019
The authors address the relationship between two generalized types of convergence for sequences of reals: ideal convergence (or equivalently filter convergence) and matrix summability. A ``handy'' example of ideal convergence is the statistical convergence; the most classical example for matrix summability is the convergence in the sense of Cesàro ...
Filipów, Rafał, Tryba, Jacek
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Some Set Theoretic Operators Preserving Ideal Hausdorff Convergence

Real Analysis Exchange, 2022
Given a normed space \(X\), let \(Cl(X)\) be the family of closed subsets of \(X\). The former space \(Cl(X)\) is endowed with the Hausdorff distance \(H\) defined by \[ \forall A,B \in Cl(X), \quad H(A,B):=\max\left\{\sup_{a \in A}\inf_{b \in B}\|a-b\|,\, \sup_{b \in B}\inf_{a \in A}\|a-b\|\right\}. \] Let \(\mathcal{I}\) be an ideal on \(\mathbb{N}\).
AYTAR, Salih, ALBAYRAK, Hüseyin, Olmez, Oznur   +2 more
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Rates of Ideal Convergence for Approximation Operators

Mediterranean Journal of Mathematics, 2010
This paper presents some convergence results on the Korovkin-type approximation theory when the notion of \({\mathcal I}\)-convergence is used, where \({\mathcal I}\) is an ideal in \(\mathbb N\) such that \(\{n\}\in{\mathcal I}\), \(n\in\mathbb N\). This new type of convergence was introduced by \textit{P. Kostyrko, T. Šalát} and \textit{W. Wilczynski}
Duman, Oktay, Erkuş, Duman Esra, Özarslan, Mehmet Ali   +2 more
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Pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued functions

Journal of Intelligent & Fuzzy Systems, 2017
In this paper we introduce the concepts of ideal convergence, pointwise ideal convergence, and uniformly ideal convergence of sequences of fuzzy valued functions based on the concept of convergence of sequences of fuzzy numbers and obtain the relationship among pointwise ideal convergence and uniformly ideal convergence of sequences of fuzzy valued ...
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Ideals of subseries convergence and F-spaces

Archiv der Mathematik, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lech Drewnowski, Iwo Labuda
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More about the kernel convergence and the ideal convergence

Acta Mathematica Sinica, English Series, 2012
Let \(\mathcal{I}\) be a proper ideal of subsets of \(\mathbb{N}\) and let \(p:\ell_{\infty}\rightarrow\mathbb{R}\) a seminorm with \(p\left( \chi_{\mathbb{N}}\right) =\sup\left\{ p\left( t\right) :\left\| t\right\| _{\infty}\leq1\right\} \). A sequence \(\left( x_{n}\right) \) of points of a real Banach space \(X\) is said to be\newline1) \(\mathcal{I}
Zhou, Xian Geng, Zhang, Min
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