Approximation of Sobolev classes by polynomials and ridge functions
From MaRDI portal
Publication:2389529
DOI10.1016/j.jat.2008.10.009zbMath1180.41017OpenAlexW2086242248MaRDI QIDQ2389529
V. N. Konovalov, Vitaly Maiorov, Dany Leviatan
Publication date: 17 July 2009
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2008.10.009
Multidimensional problems (41A63) Approximation by polynomials (41A10) Approximation by other special function classes (41A30)
Related Items (6)
ON THE LOWER BOUND IN THE PROBLEM OF APPROXIMATE RECONSTRUCTION OF FUNCTIONS BY VALUES OF THE RADON TRANSFORM ⋮ Theory of deep convolutional neural networks. III: Approximating radial functions ⋮ Essential rate for approximation by spherical neural networks ⋮ Some problems in the theory of ridge functions ⋮ The essential rate of approximation for radial function manifold ⋮ Deep neural networks for rotation-invariance approximation and learning
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the tractability of multivariate integration and approximation by neural networks
- Approximation by polynomials and ridge functions of classes of \(s\)-monotone radial functions
- Sobolev's integral representation and Taylor's formula
- On best approximation by ridge functions
- On the approximation of functional classes equipped with a uniform measure using ridge functions
- When is approximation by Gaussian networks necessarily a linear process?
- Approximation properties of zonal function networks using scattered data on the sphere
- A Sobolev-type upper bound for rates of approximation by linear combinations of Heaviside plane waves
- Tomographic reconstruction with arbitrary directions
- 0n the best approximation by ridge functions in the uniform norm
This page was built for publication: Approximation of Sobolev classes by polynomials and ridge functions
