Orthogonal polynomial projection error measured in Sobolev norms in the unit disk
From MaRDI portal
Publication:2402881
DOI10.1007/s00365-016-9358-yzbMath1376.41015arXiv1503.04485OpenAlexW3048010504MaRDI QIDQ2402881
Publication date: 15 September 2017
Published in: Constructive Approximation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.04485
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions
- Polynomial approximation in Sobolev spaces on the unit sphere and the unit ball
- An introduction to Sobolev spaces and interpolation spaces
- Moduli of smoothness and approximation on the unit sphere and the unit ball
- Functional analysis, Sobolev spaces and partial differential equations
- Tensor calculus in polar coordinates using Jacobi polynomials
- Generalized Zernike or disc polynomials
- Weighted approximation of functions on the unit sphere
- Orthogonal polynomials on the disc
- Approximation Results for Orthogonal Polynomials in Sobolev Spaces
- Finite Element Methods for Navier-Stokes Equations
- Continuous and compact imbeddings of weighted Sobolev spaces. II
- On zernicke transforms in spaces of distributions
- Gegenbauer Approximation in Certain Hilbert Spaces and Its Applications to Singular Differential Equations
- Spectral Approximation on the Unit Ball
- Generalized Zernike polynomials: operational formulae and generating functions
- Spectral Methods
- Intermediate spaces and interpolation, the complex method
This page was built for publication: Orthogonal polynomial projection error measured in Sobolev norms in the unit disk