Estimates of the norm of the Mercer kernel matrices with discrete orthogonal transforms
From MaRDI portal
Publication:1046859
DOI10.1007/s10474-008-8037-2zbMath1212.41028OpenAlexW2122143277MaRDI QIDQ1046859
Publication date: 29 December 2009
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10474-008-8037-2
approximation theoryMercer kernel matrixnorm of the Mercer kernel matrixReleigh numbersVallée-Poussin type approximation
Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Approximation by polynomials (41A10)
Related Items
The convergence rates of Shannon sampling learning algorithms ⋮ The convergence rate for a \(K\)-functional in learning theory ⋮ Error analysis of multicategory support vector machine classifiers ⋮ Applications of Bernstein-Durrmeyer operators in estimating the covering number
Cites Work
- On summability of weighted Lagrange interpolation. III: Jacobi weights
- On summability of weighted Lagrange interpolation. II.
- Stability results for scattered-data interpolation on Euclidean spheres
- Eigenvalues of euclidean distance matrices
- Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
- Lower bounds for norms of inverses of interpolation matrices for radial basis functions
- On condition numbers associated with radial-function interpolation
- On the summability of weighted Lagrange interpolation of the roots of Jacobi polynomials
- Best choices for regularization parameters in learning theory: on the bias-variance problem.
- The covering number in learning theory
- On summability of weighted Lagrange interpolation. I
- On the mathematical foundations of learning
- Learning Theory
- Capacity of reproducing kernel spaces in learning theory
- Error estimates for scattered data interpolation on spheres
- Radial Basis Functions
- Shannon sampling and function reconstruction from point values
- A Convolution Structure for Jacobi Series
- Theory of Reproducing Kernels
- Scattered Data Approximation
- On the summability of trigonometric interpolation processes
- Unnamed Item
- Unnamed Item
