Orthogonal expansion of real polynomials, location of zeros, and an \(L^2\) inequality

DOI10.1006/JATH.2000.3536zbMath0977.42010OpenAlexW2031717274MaRDI QIDQ5931944

Gerhard Schmeisser

Publication date: 8 January 2002

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jath.2000.3536

zbMATH Keywords

orthogonal polynomialszeros of polynomialsFourier coefficients

Mathematics Subject Classification ID

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)

Cites Work

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• Orthogonal polynomials for modified weight functions
• A class of orthogonal polynomials
• Hermite-expansion and strips for zero of polynomials
• Die Lage der Nullstellen eines Polynoms
• Die Lage der Nullstellen eines Polynoms. IV
• Estimates for the Imaginary Parts of the Zeros of a Polynomial

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