Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1]\). I
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Publication:1369239
DOI10.1006/jath.1996.3087zbMath0887.41014OpenAlexW4213122937MaRDI QIDQ1369239
Publication date: 30 March 1998
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jath.1996.3087
Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Approximation by polynomials (41A10) Rate of convergence, degree of approximation (41A25)
Related Items (12)
Forward and converse theorems of polynomial approximation for exponential weights on \([-1,1\). II] ⋮ Polynomial inequalities and embedding theorems with exponential weights on \((-1, 1)\) ⋮ Polynomial approximation with an exponential weight on the real semiaxis ⋮ Fourier sums with exponential weights on \((-1,1):L^1\) and \(L^\infty\) cases ⋮ Which weights on \(\mathbb R\) admit Jackson theorems? ⋮ Jackson and Bernstein theorems for the weight \(\exp(-|x|)\) on \(\mathbb R\) ⋮ \(L^{p}\)-convergence of Fourier sums with exponential weights on \((-1,1)\) ⋮ Polynomial approximation with Pollaczek-type weights. A survey ⋮ Converse and smoothness theorems for Erdős weights in \(L_p\) \((0<p\leq\infty)\) ⋮ A characterization of smoothness for Freud weights ⋮ Smoothness theorems for generalized symmetric Pollaczek weights on \((-1,1)\) ⋮ Approximation with exponential weights in \([-1,1\)]
Cites Work
- Where does the sup norm of a weighted polynomial live? (A generalization of incomplete polynomials)
- Géza Freud, orthogonal polynomials and Christoffel functions. A case study
- Polynomial approximation in \(L_ p (O<p<1)\)
- Christoffel functions, orthogonal polynomials, and Nevai's conjecture for Freud weights
- Jackson theorems for Erdős weights in \(L_p\) \((0<p\leq \infty)\)
- A class of orthogonal polynomials
- Extremal Problems for Polynomials with Exponential Weights
- Where Does the L p -Norm of a Weighted Polynomial Live?
- Interpolation of Besov Spaces
- Christoffel functions and orthogonal polynomials for exponential weights on [-1,1]
- Markov–Bernstein and Nikolskiui Inequalities, and Christoffel Functions for Exponential Weights on $( - 1,1)$
- On Integral Functions Having Prescribed Asymptotic Growth. II
- Jackson and smoothness theorems for Freud weights in \(L_ p (0<p\leq\infty)\)
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