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On Topological Spaces Defined by $${\mathcal {I}}$$-Convergence
Bulletin of the Iranian Mathematical Society, 2019In this paper the authors discuss some topological spaces defined by \( \mathcal I \)-convergence, where \( \mathcal I\subseteq 2^{\mathbb N} \) is an ideal. A sequence \( \{x_n:n\in\mathbb N\} \) in a topological space \( X \) is said to be \( \mathcal I \)-convergent to a point \( x\in X \), provided for any neighbourhood \( U \) of \( x \) one has \(
Zhou, Xiangeng, Liu, Li, Lin, Shou
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Rough $\Delta \mathcal{I}-$Convergence
2020In this paper, we study the concept of rough $\mathcal{I}-$convergence for difference sequences in $\left( \mathbb{R}^{n},\left\Vert .\right\Vert \right) $ where $ \mathbb{R}^{n}$ denotes the real $n-$dimensional space with the norm $\left\Vert .\right\Vert $. At the same time, we examine some basic properties of the set $\mathcal{I}-\lim_{\Delta x_{I}}
GUMUS, Hafize, DEMİR, Nihal
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Projection Method I: Convergence and Numerical Boundary Layers
SIAM Journal on Numerical Analysis, 1995The authors present projection methods applied to the viscous incompressible flow calculations. This paper is devoted to the explicit characterization of the numerical boundary layers. The convergence and optimal error estimates for both velocity and pressure up to boundary are given.
E, Weinan, Liu, Jian-Guo
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I-Convergence and I*-Convergence in cone metric space
AIP Conference Proceedings, 2022openaire +1 more source
Subseries of I-convergent series [PDF]
Lithuanian Mathematical Journal, 2018 openaire +1 more source