Results 11 to 20 of about 1,436 (235)
Approximation by quasi-interpolation operators and Smolyak's algorithm [PDF]
Journal of Complexity, 2022 We study approximation of multivariate periodic functions from Besov and Triebel--Lizorkin spaces of dominating mixed smoothness by the Smolyak algorithm constructed using a special class of quasi-interpolation operators of Kantorovich-type. These operators are defined similar to the classical sampling operators by replacing samples with the average ...
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Quasi-Interpolant Operators and the Solution of Fractional Differential Problems [PDF]
, 2021 Proceedings of Approximation Theory XVI, Nashville TN ...
Pellegrino E., Pezza L., Pitolli F.
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Fractal and Fractional, 2023 In this work, we perform univariate approximation with rates, basic and fractional, of continuous functions that take values into an arbitrary Banach space with domain on a closed interval or all reals, by quasi-interpolation neural network operators ...
George A. Anastassiou
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Hyperbolic Tangent Like Relied Banach Space Valued Neural Network Multivariate Approximations
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 Here we examine the multivariate quantitative approximations of Banach space valued continuous multivariate functions on a box or ℝN , N ∈ ℕ, by the multivariate normalized, quasi-interpolation, Kantorovich type and quadrature type neural network ...
Anastassiou George A.
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A shape preserving quasi-interpolation operator based on a new transcendental RBF [PDF]
Dolomites Research Notes on Approximation, 2021 It is well-known that the univariate Multiquadric quasi-interpolation operator is constructed based on the piecewise linear interpolation by |x|. In this paper, we first introduce a new transcendental RBF based on the hyperbolic tangent function as a smooth approximant to f(r)=r with higher accuracy and better convergence properties than the ...
Heidari M., Mohammadi M., De Marchi S.
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Construction Techniques for Highly Accurate Quasi-Interpolation Operators
Journal of Approximation Theory, 1997 The authors consider univariate quasi-interpolants of the form \[ f_h(x)= \sum^{+\infty}_{-\infty} f(hj)\varphi_h(x/h- j), \] for \(x\in\mathbb{R}\) and \(h>0\), where \(\varphi_h\) is in turn a linear combination of translates \(\psi(x- jh)\) of a function \(\psi\) in \(C^\ell(\mathbb{R})\). Thus the sampling distance of the data \(f(jh)\) is actually
Schaback, Robert, Wu, Zongmin
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The Genuine Bernstein–Durrmeyer Operators and Quasi-Interpolants
Results in Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Heilmann, Margareta, Wagner, Martin
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Error estimates for some quasi-interpolation operators [PDF]
ESAIM: Mathematical Modelling and Numerical Analysis, 1999 Explicit bounds on the constants for two quasi-interpolation operators which are modifications of the classical Clément-operator is derived. The estimates proposed are crucial for the construction of explicit constants which appear in the commonly used a posteriori error estimates. The obtained results are also compared with corresponding estimates for
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On the Numerical Solution of One-Dimensional Nonlinear Nonhomogeneous Burgers’ Equation
Journal of Applied Mathematics, 2014 The nonlinear Burgers’ equation is a simple form of Navier-Stocks equation. The nonlinear nature of Burgers’ equation has been exploited as a useful prototype differential equation for modeling many phenomena. This paper proposes two meshfree methods for
Maryam Sarboland, Azim Aminataei
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On Quasi-Interpolation Operators in Spline Spaces
, 2016 We propose the construction of a class of L 2 stable quasi-interpolation operators onto the space of splines on tensor-product meshes, in any space dimension. The estimate we propose is robust with respect to knot repetition and to knot "vicinity" (up to p + 1 knots), so it applies to the most general scenario in which the B-spline functions are known ...
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