The growth of polynomials outside of a compact set-the Bernstein-Walsh inequality revisited
From MaRDI portal
Publication:2406894
DOI10.1016/j.jat.2017.07.007zbMath1375.41008OpenAlexW2740435645MaRDI QIDQ2406894
Publication date: 4 October 2017
Published in: Journal of Approximation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jat.2017.07.007
Best approximation, Chebyshev systems (41A50) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17) Polynomials and rational functions of one complex variable (30C10)
Related Items
Asymptotics of Chebyshev polynomials. V: Residual polynomials, Weighted Chebyshev polynomials on compact subsets of the complex plane
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An upper bound for the norm of the Chebyshev polynomial on two intervals
- Asymptotics of Chebyshev polynomials. I: Subsets of \({\mathbb {R}}\)
- The norm of minimal polynomials on several intervals
- Computation of logarithmic capacity
- Estimates for the asymptotic convergence factor of two intervals
- A lower bound for the norm of the minimal residual polynomial
- On a class of Chebyshev approximation problems which arise in connection with a conjugate gradient type method
- Chebyshev polynomials on compact sets
- On a conjecture of Widom
- A lower bound for the minimum deviation of the Chebyshev polynomial on a compact real set
- On an Inequality of S. Bernstein
- Logarithmic Potential Theory with Applications to Approximation Theory
- Some properties of functions of exponential type
- Some remarks on polynomials