On Markov-Bernstein-type inequalities and their applications
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Publication:1237900
DOI10.1016/0021-9045(77)90026-0zbMath0356.41003OpenAlexW2023376265MaRDI QIDQ1237900
Publication date: 1977
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0021-9045(77)90026-0
Related Items (43)
Exact Markov inequalities for the Hermite and Laguerre weights ⋮ On the density of multivariate polynomials with varying weights ⋮ An update on orthogonal polynomials and weighted approximation on the real line ⋮ Weighted polynomial approximation ⋮ Positive convergent approximation operators associated with orthogonal polynomials for weights on the whole real line ⋮ On Nevai's bound for orthogonal polynomials associated with exponential weights ⋮ K functionals and best polynomial approximation in weighted \(L^ p(R)\) ⋮ Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ Gaussian quadrature, weights on the whole real line and even entire functions with nonnegative even order derivatives ⋮ Weights on the real line that admit good relative polynomial approximation, with applications ⋮ Canonical products and the weights \(\exp (-| x| ^{\alpha})\), \(\alpha >1\), with applications ⋮ Mean convergence of Lagrange interpolation for Freud's weights with application to product integration rules ⋮ Uniform and mean approximation by certain weighted polynomials, with applications ⋮ Asymptotic behaviour of the ratio of Christoffel functions for weights \(W^ 2\) and \(W^ 2g\) ⋮ Polynomial approximation with exponential weights ⋮ Pointwise convergence of Lagrange interpolation based at the zeros of orthonormal polynomials with respect to weights on the whole real line ⋮ Noninterpolatory Integration Rules for Cauchy Principal Value Integrals ⋮ Lagrange interpolation based at the zeros of orthonormal polynomials with Freud weights ⋮ Pointwise Exponentially Weighted Estimates for Approximation on the Half-Line ⋮ Orthogonal expansions and the error of weighted polynomial approximation for erdös weights ⋮ Error estimates for Gauss-Jacobi quadrature formulae with weights having the whole real line as their support ⋮ \(L_{\infty}\) Markov and Bernstein inequalities for Erdős weights ⋮ Difference inequalities and barycentric identities for classical discrete iterated weights ⋮ \((C,1)\) means of orthonormal expansions for exponential weights ⋮ Applications of universality limits to zeros and reproducing kernels of orthogonal polynomials ⋮ Which weights on \(\mathbb R\) admit Jackson theorems? ⋮ Best weighted polynomial approximation on the real line; a functional- analytic approach ⋮ Hermite and Hermite-Fejér interpolation and associated product integration rules on the real line: The \(L_ \infty\) theory ⋮ Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\) ⋮ Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights ⋮ Hermite interpolation at the zeros of certain Freud-type orthogonal polynomials ⋮ Pointwise convergence of derivatives of Lagrange interpolation polynomials for exponential weights ⋮ Estimates of Christoffel functions of generalized Freud-type weights ⋮ The Szegö-Markov-Bernstein inequalities and barycentric representations of the osculatory interpolating operators for classical iterated weights ⋮ Jackson-Favard type problems for the weight \(\exp(-|x|)\) on the real line ⋮ Convergence of modified Lagrange interpolation to \(L_p\)-functions based on the zeros of orthonormal polynomials with Freud weights ⋮ Dimension independent Bernstein-Markov inequalities in Gauss space ⋮ Bounds for certain Freud-type orthogonal polynomials ⋮ The supremum norm of reciprocals of Christoffel functions for Erdős weights ⋮ Bounded quasi-interpolatory polynomial operators ⋮ Estimates of Freud-Christoffel functions for some weights with the whole real line as support ⋮ Higher order derivatives of approximation polynomials on \(\mathbb{R}\) ⋮ \(L_p\) boundedness of \((C,1)\) means of orthonormal expansions for general exponential weights
Cites Work
- On direct and converse theorems in the theory of weighted polynomial approximation
- Extension of the Dirichlet-Jordan criterion to a general class of orthogonal polynomial expansions
- On two polynomial inequalities. I
- On two polynomial inequalities. II
- On the converse theorems of weighted polynomial approximation
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