On Lagrange polynomials and the rate of approximation of planar sets by polynomial Julia sets
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Publication:1748322
DOI10.1016/j.jmaa.2018.04.029zbMath1388.41001arXiv1709.06630OpenAlexW2762265345WikidataQ122112551 ScholiaQ122112551MaRDI QIDQ1748322
Marta Kosek, Małgorzata Stawiska, Leokadia Białas-Cież
Publication date: 9 May 2018
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.06630
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Interpolation in approximation theory (41A05) Approximation by polynomials (41A10)
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- Jackson's inequality in the complex plane and the Łojasiewicz-Siciak inequality of Green's function
- A sharp bound on the Lebesgue constant for Leja points in the unit disk
- On Lebesgue constants for interpolation points on a quasiconformal arc
- On the Lebesgue constant of Leja sequences for the unit disk and its applications to multivariate interpolation
- Pseudo Leja sequences
- Computing Fekete and Lebesgue points: Simplex, square, disk
- Dynamical dessins are dense
- Markov's inequality and the existence of an extension operator for \(C^{\infty}\) functions
- Polynomial convexity, special polynomial polyhedra and the pluricomplex Green function for a compact set in \(\mathbb C^n\)
- Polynomial interpolation of holomorphic functions in \(\mathbb{C}\) and \(\mathbb{C}^ n\)
- Complex dynamics
- Comparing two versions of Markov's inequality on compact sets
- On the Lebesgue constant of Leja sequences for the complex unit disk and of their real projection
- Dipoles and pixie dust
- An estimate for the Siciak extremal function -- subanalytic geometry approach
- Iterated function systems and Łojasiewicz-Siciak condition of Green's function
- Equidistribution of points via energy
- The Łojasiewicz-Siciak condition of the pluricomplex Green function
- Iteration of Analytic Multifunctions
- Approximation polynômiale dans des classes de jets
- Lagrange interpolation at real projections of Leja sequences for the unit disk
- Shapes of polynomial Julia sets
- A uniform bound for the Lagrange polynomials of Leja points for the unit disk
- A Markov-type inequality for arbitrary plane continua
- Lebesgue constants for Leja points
- On Some Extremal Functions and their Applications in the Theory of Analytic Functions of Several Complex Variables
- Extremal plurisubharmonic functions in $C^N$
- Экстремальные плюрисубгармонические функции, ортогональные многочлены и теорема Бернштейна-Уолша для аналитических функций многих комплексных переменных
- Metrics Associated with Extremal Plurisubharmonic Functions
- Fekete polynomials and shapes of Julia sets
