George Lorentz and inequalities in approximation

DOI10.1090/S1061-0022-10-01099-XzbMath1203.41001OpenAlexW2068113401MaRDI QIDQ3586755

Tamás Erdélyi

Publication date: 1 September 2010

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-10-01099-x

zbMATH Keywords

multivariate approximationRemez-type inequalityBernstein-type inequalitygeneralized polynomialsLittlewood polynomials

Mathematics Subject Classification ID

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) Multidimensional problems (41A63) Trigonometric polynomials, inequalities, extremal problems (42A05) Research exposition (monographs, survey articles) pertaining to approximations and expansions (41-02)

Related Items (7)

A sharp Remez inequality for trigonometric polynomials ⋮ A Bernstein-type inequality for rational functions in weighted Bergman spaces ⋮ Quadrature formulas with variable nodes and Jackson-Nikolskii inequalities for rational functions ⋮ On the Lorentz degree of a product of polynomials ⋮ On a Remez-type inequality for trigonometric polynomials ⋮ Quantum Lorentz degrees of polynomials and a Pólya theorem for polynomials positive on \(q\)-lattices ⋮ Turán-type reverse Markov inequalities for polynomials with restricted zeros

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