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Numerical Evaluation and Assessment of Key Two-Phase Flow Parameters Using Four-Sensor Probes in Bubbly Flow. [PDF]
Monrós-Andreu G +4 more
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A DIFFERENT VIEWPOINT ABOUT THE WEAK CONVERGENCE VIA IDEALS AND $\Delta ^{m}$ SEQUENCES
Hafize Gümüş, Mikâil Et
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On Zweier Ideal Convergence of Double Sequences In Probabilistic Normed Spaces
Vakeel A. Khan +3 more
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More about the kernel convergence and the ideal convergence
Acta Mathematica Sinica, English Series, 2012Let \(\mathcal{I}\) 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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A study on convergence and ideal convergence classes
Topology and its Applications, 2018It 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
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Ideal convergence versus matrix summability
Studia Mathematica, 2019The 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, 2022Given 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
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