Results 221 to 230 of about 61,908 (253)

Increasing the polynomial reproduction of a quasi-interpolation operator

Journal of Approximation Theory, 2009
Let \(\Pi_m(\mathbb R^d)\) stand for the space of \(d\)-variate polynomials of degree less or equal than \(m\), and let \(L\) be a quasi-interpolant from the space of sufficiently smooth functions onto \(\Pi_m(\mathbb R^d)\) such that \(LP=P\) for any polynomial \(P\) there, given by \[ Lf(x)=\sum_{i=1}^n\lambda_i(f)\varphi_i(x), \qquad \lambda_i(f ...
Shayne Waldron
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Quasi-interpolant operators in Bernstein basis

Mathematics and Computers in Simulation, 2021
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S. Bouhiri, Abdelleh Lamnii, M. Lamnii, Ahmed Zidna   +3 more
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Bivariate Quasi-Interpolation Operator of Bernoulli Type

Mediterranean Journal of Mathematics, 2013
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Teodora Catinas
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Bivariate quartic spline spaces and quasi-interpolation operators

Journal of Computational and Applied Mathematics, 2006
Dimension of the space of bivariate splines defined over cross-cut partitions with global smoothness, is known [see \textit{R. H. Wang}, Multivariate Spline Functions and their Applications. Mathematics and its Applications (Dordrecht). 529. Dordrecht: Kluwer Academic Publishers. Beijing: Science Press. (2001; Zbl 1002.41001)].
Ren-Hong Wang
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On Chebyshev-type integral quasi-interpolation operators

Mathematics and Computers in Simulation, 2009
The article deals with quasi-interpolants of a function \(f\), \[ Qf = \sum_{i \in \mathbb Z} \lambda f (\cdot + i) \phi(\cdot - i), \] where \(\phi\) is a certain piecewise polynomial partition of unity with a compact support, and where \(\lambda\) is a linear functional of the form \[ \lambda f=\sum_{j \in J} \gamma_j \langle f , \psi(\cdot + j ...
Miguel A. Fortes, María J. Ibáñez, Miguel Luis Rodríguez   +2 more
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Numerical integration based on a multilevel quartic quasi-interpolation operator

Applied Mathematics and Computation, 2014
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Jinming Wu
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Quasi-Interpolation Operators for Bivariate Quintic Spline Spaces and Their Applications [PDF]

Mathematical and Computational Applications, 2017
Splines and quasi-interpolation operators are important both in approximation theory and applications. In this paper, we construct a family of quasi-interpolation operators for the bivariate quintic spline spaces S53 (∆mn(2)). Moreover, the properties of the proposed quasi-interpolation operators are studied, as well as its applications for ...
Chun-Gang Zhu, Xianmin Hou
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Cubature of Integral Operators by Approximate Quasi-interpolation

2009
In this paper we report on some recent results concerning Hermite quasi-interpolation on uniform grids with interesting applications to the approximation of solutions to elliptic PDE, quasi-interpolation on nonuniform grids and the cubature of convolutions with radial kernel functions based on an approximation method proposed by V. Maz’ya.
LANZARA, Flavia, Gunther Schmidt
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Quasi-interpolants from spline interpolation operators

Constructive Approximation, 1990
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Smith, P. W., Ward, J. D.
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A family of multivariate multiquadric quasi-interpolation operators with higher degree polynomial reproduction

Journal of Computational and Applied Mathematics, 2015
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Ruifeng Wu, Huilai Li
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