An extremal problem for algebraic polynomials with zero mean value on an interval

DOI10.1007/BF02360868zbMath0917.26012MaRDI QIDQ1277526

V. Yu. Raevskaya, Vitalii Arestov

Publication date: 2 August 1999

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

mean valuealgebraic polynomialsreal coefficients

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) Real polynomials: location of zeros (26C10) Polynomials and rational functions of one complex variable (30C10) Real polynomials: analytic properties, etc. (26C05)

Related Items (1)

The rate of the smallest value of the weighted measure of the nonnegativity set for polynomials with zero mean value on a closed interval

Cites Work

• On upper bounds for code distance and covering radius of designs in polynomial metric spaces
• Covering a sphere and extremal properties of orthogonal polynomials
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