Uniform approximation by discrete least squares polynomials
From MaRDI portal
Publication:927692
DOI10.1016/j.jat.2007.05.005zbMath1145.41001OpenAlexW2054195354MaRDI QIDQ927692
Norman Levenberg, Jean-Paul Calvi
Publication date: 9 June 2008
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2007.05.005
Related Items (49)
Invariance of polynomial inequalities under polynomial maps ⋮ Optimal polynomial admissible meshes on some classes of compact subsets of \(\mathbb{R}^d\) ⋮ Weighted regularity and two problems of Sadullaev on weighted regularity ⋮ Polynomial fitting and interpolation on circular sections ⋮ Compression of Multivariate Discrete Measures and Applications ⋮ Multivariate ``needle polynomials with application to norming sets and cubature formulas ⋮ On discretizing uniform norms of exponential sums ⋮ Suboptimal Polynomial Meshes on Planar Lipschitz Domains ⋮ Padua points and fake nodes for polynomial approximation: old, new and open problems ⋮ Polynomial inequalities on certain algebraic hypersurfaces ⋮ Equivalence of the local Markov inequality and a Kolmogorov type inequality in the complex plane ⋮ Constructing Least-Squares Polynomial Approximations ⋮ Weighted Approximate Fekete Points: Sampling for Least-Squares Polynomial Approximation ⋮ Polynomial interpolation and cubature over polygons ⋮ Approximation of analytic sets with proper projection by algebraic sets ⋮ Marcinkiewicz-Zygmund type results in multivariate domains ⋮ On the generation of symmetric Lebesgue-like points in the triangle ⋮ On the existence of optimal meshes in every convex domain on the plane ⋮ Polynomial approximation and cubature at approximate Fekete and Leja points of the cylinder ⋮ Equivalence of the global and local Markov inequalities in the complex plane ⋮ An overdetermined B-spline collocation method for Poisson problems on complex domains ⋮ Pluripotential numerics ⋮ Polynomial approximation and quadrature on geographic rectangles ⋮ Pseudo Leja sequences ⋮ Bernstein type inequalities on star-like domains in $${\mathbb{R }}^d$$ with application to norming sets ⋮ Optimal sampling patterns for Zernike polynomials ⋮ Multivariate polynomial interpolation using even and odd polynomials ⋮ On generalized least power approximation ⋮ Geometric weakly admissible meshes, discrete least squares approximations and approximate Fekete points ⋮ A note on total degree polynomial optimization by Chebyshev grids ⋮ Approximation of holomorphic functions on compact subsets of \(\mathbb R^N\) ⋮ On the Lebesgue constant of Leja sequences for the unit disk and its applications to multivariate interpolation ⋮ Computing approximate Fekete points by QR factorizations of Vandermonde matrices ⋮ Least-squares polynomial approximation on weakly admissible meshes: Disk and triangle ⋮ Nearly optimal meshes in subanalytic sets ⋮ On optimal polynomial meshes ⋮ On the computation of sets of points with low Lebesgue constant on the unit disk ⋮ On the behaviour of constants in some polynomial inequalities ⋮ Statistical mechanics of interpolation nodes, pluripotential theory and complex geometry ⋮ Subperiodic Dubiner distance, norming meshes and trigonometric polynomial optimization ⋮ Laplace Beltrami operator in the Baran metric and pluripotential equilibrium measure: the ball, the simplex, and the sphere ⋮ Computing Fekete and Lebesgue points: Simplex, square, disk ⋮ Tchakaloff polynomial meshes ⋮ Small perturbations of polynomial meshes ⋮ Near G-optimal Tchakaloff designs ⋮ Markov inequalities, Dubiner distance, norming meshes and polynomial optimization on convex bodies ⋮ Randomized weakly admissible meshes ⋮ Near-optimal polynomial interpolation on spherical triangles ⋮ A Robust and Scalable Implementation of the Parks-McClellan Algorithm for Designing FIR Filters
Cites Work
- On discrete orthogonal polynomials of several variables
- Bivariate Lagrange interpolation at the Padua points: the generating curve approach
- Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
- Markov's inequality and \(C^{\infty}\) functions on sets with polynomial cusps
- On polynomial approximation in the uniform norm by the discrete least squares method
- The distribution of extremal points for Kergin interpolations: real case
- On Bernstein and Markov-type inequalities for multivariate polynomials on convex bodies
- Bernstein theorems for elliptic equations
- Bernstein type theorems for compact sets in \(\mathbb{R}^ n\) revisited
- A local version of the Pawłucki-Pleśniak extension operator
- Bivariate polynomial interpolation on the square at new nodal sets
- A Markov inequality in several dimensions
- Multivariate simultaneous approximation
- Construction of polynomials that are orthogonal with respect to a discrete bilinear form
- On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
- Extremal plurisubharmonic functions in $C^N$
- Bounds on the derivatives of polynomials on Banach spaces
- Markov inequality on sets with polynomial parametrization
- Extension of $C^{∞}$ functions from sets with polynomial cusps
- Markov's Exponent of Compact Sets in ℂ n
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Uniform approximation by discrete least squares polynomials
