INVERSE BERNSTEIN INEQUALITIES AND MIN–MAX–MIN PROBLEMS ON THE UNIT CIRCLE
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Publication:3195359
DOI10.1112/S0025579314000138zbMath1357.30002arXiv1307.4056MaRDI QIDQ3195359
Douglas P. Hardin, Tamás Erdélyi, Edward B. Saff
Publication date: 16 October 2015
Published in: Mathematika (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.4056
Polynomials in number theory (11C08) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Inequalities in approximation (Bernstein, Jackson, Nikol'ski?-type inequalities) (41A17)
Related Items (5)
A minimax problem for sums of translates on the torus ⋮ Pólya-Schur inequality and the Green energy of a discrete charge ⋮ Reverse Markov- and Bernstein-type inequalities for incomplete polynomials ⋮ Green energy and extremal decompositions ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros
Cites Work
- Riesz polarization inequalities in higher dimensions
- Rational compacts and exposed quadratic irrationalities
- Polarization optimality of equally spaced points on the circle for discrete potentials
- The Riesz energy of the N th roots of unity: an asymptotic expansion for large N
- Chebyshev constants for the unit circle
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