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Near best refinable quasi-interpolants

Mathematics and Computers in Simulation, 2009
Let \(\mathbb{Z}\) be the set of integers and \(n\geq2\) be fixed. The authors consider the class of linearly independent refinable functions \[ M_{n,h}:=\left\{ m_{n,h}(\cdot-k),k\in\mathbb{Z}\right\} , \] where \(m_{n,h}(x)\) has support \(\left[ -n,n\right] ,\) is centered at the origin and satisfies the refinement equation: \[ m_{n,h}(x)=\sum_{k=n}^
PELLEGRINO, ENZA, SANTI E.
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Quasi-Interpolation on Irregular Points

1994
A quasi-interpolant is an operator L having the form $$Lf = \sum\limits_{i = 1}^\infty {f\left( {{y_i}} \right){g_i}} .$$ (1.1) The points y i are called “nodes”; they are prescribed in ℝ n . The entities g i are prescribed functions from ℝ n to ℝ. The case of irregularly situated nodes is of particular interest.
E. W. Cheney, Junjiang Lei
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On the meshless quasi-interpolation methods for solving 2D sine-Gordon equations

Computational and Applied Mathematics, 2022
Shanshan Li, Y. Duan, L. Bai
semanticscholar   +1 more source

Quasi-Interpolation on Compact Domains

1995
Quasi-interpolation schemes are often based on the construction of an approximation to the identity on some discrete set of points. Such schemes generally fail on compact regions because evaluation of the approximate identity on the boundary of the region requires function evaluations outside the region.
J. Levesley, M. Roach
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Quasi-interpolation for analysis-suitable T-splines

Computer Aided Geometric Design, 2022
Hongmei Kang, Zhiguo Yong, Xin Li
semanticscholar   +1 more source

Quasi-interpolation for multivariate density estimation on bounded domain

Mathematics and Computers in Simulation, 2022
Wenwu Gao, Jiecheng Wang, Ran Zhang
semanticscholar   +1 more source

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