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07/29/2022
Spline Representation and Redundancies of One-Dimensional ReLU Neural Network Models
We analyze the structure of a one-dimensional deep ReLU neural network (...
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02/10/2022
Sharp L_p-error estimates for sampling operators
We study approximation properties of linear sampling operators in the sp...
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11/11/2021
Sparse grid approximation in weighted Wiener spaces
We study approximation properties of multivariate periodic functions fro...
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12/15/2020
Approximation by quasi-interpolation operators and Smolyak's algorithm
We study approximation of multivariate periodic functions from Besov and...
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09/15/2020
Asymptotics of the Lebesgue constants for bivariate approximation processes
In this paper asymptotic formulas are given for the Lebesgue constants g...
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08/16/2020
Uniform approximation by multivariate quasi-projection operators
Approximation properties of quasi-projection operators Q_j(f,φ, φ) are s...
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06/23/2020
Approximation by multivariate quasi-projection operators and Fourier multipliers
Multivariate quasi-projection operators Q_j(f,φ, φ), associated with a f...
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02/11/2020
Approximation properties of periodic multivariate quasi-interpolation operators
We study approximation properties of the general multivariate periodic q...
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01/23/2020