Results 281 to 290 of about 600,818 (315)

Numerical Evaluation and Assessment of Key Two-Phase Flow Parameters Using Four-Sensor Probes in Bubbly Flow. [PDF]

open access: yesSensors (Basel)
Monrós-Andreu G   +4 more
europepmc   +1 more source

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
openaire   +3 more sources

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.   +2 more
openaire   +2 more sources

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
openaire   +1 more source

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   +2 more
openaire   +4 more sources

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