Error estimates for the modified truncations of approximate approximation with Gaussian kernels

DOI10.1007/s10092-012-0064-2zbMath1279.41028OpenAlexW2009864897MaRDI QIDQ372877

Dansheng Yu, Ping Zhou, Yi Zhao

Publication date: 21 October 2013

Published in: Calcolo (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10092-012-0064-2

zbMATH Keywords

error estimatesapproximate approximationGaussian kernels

Mathematics Subject Classification ID

Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

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On Approximation by Neural Networks with Optimized Activation Functions and Fixed Weights ⋮ Neural network interpolation operators activated by smooth ramp functions ⋮ Neural network interpolation operators optimized by Lagrange polynomial ⋮ Rates of approximation by neural network interpolation operators

Cites Work

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• Global errors for approximate approximations with Gaussian kernels on compact intervals
• Error estimates for approximate approximations with Gaussian kernels on compact intervals
• On approximation by polynomials and rational functions in Orlicz spaces
• Approximate wavelets and the approximation of pseudodifferential operators
• ``Approximate approximations and the cubature of potentials
• On the computation of multi-dimensional single layer harmonic potentials via approximate approximations
• Extension of the range of a differentiable function
• On approximate approximations using Gaussian kernels
• On quasi-interpolation with non-uniformly distributed centers on domains and manifolds

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