Zero distribution of Müntz extremal polynomials in 𝐿_{𝑝}[0,1]

DOI10.1090/S0002-9939-06-08694-1zbMath1173.41001OpenAlexW1525402388MaRDI QIDQ3420012

Doron S. Lubinsky, Edward B. Saff

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08694-1

zbMATH Keywords

zero distributionMüntz orthogonal polynomialsMüntz extremal polynomials

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Interpolation in approximation theory (41A05) Polynomials and rational functions of one complex variable (30C10)

Related Items (5)

Zero spacing of Müntz orthogonal polynomials ⋮ Local approximation of functions with several variables ⋮ Asymptotic behavior of Müntz orthogonal polynomials ⋮ Convergence of weighted polynomial approximations to solutions of partial differential equations with quasianalytical coefficients ⋮ Asymptotic behavior of Müntz-Christoffel functions at the endpoints

Cites Work

• Interlacing properties of the zeros of the error functions in best \(L^p\)- approximations
• On lacunary incomplete polynomials
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