Zeros of linear combinations of orthogonal polynomials

DOI10.1017/S0305004100073357zbMath0827.42016OpenAlexW2121719329MaRDI QIDQ4843580

Franz Peherstorfer

Publication date: 7 December 1995

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

Full work available at URL: https://doi.org/10.1017/s0305004100073357

zbMATH Keywords

zerosdistribution functionmonic orthogonal polynomialslinear combinationsJacobi weights

Mathematics Subject Classification ID

Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (6)

Orthogonality of quasi-orthogonal polynomials ⋮ Optimization via Chebyshev polynomials ⋮ Positive quadrature formulas III: asymptotics of weights ⋮ Orthogonality properties of linear combinations of orthogonal polynomials ⋮ Interlacing and spacing properties of zeros of polynomials, in particular of orthogonal and \(L_q\)-minimal polynomials, \(q\in [1,\infty \)] ⋮ Convergence of Lagrange interpolation processes based on a new systems of nodes

Cites Work

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• Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
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• Characterization of Quadrature Formula II
• Zeros of expansions in orthogonal polynomials
• On Mechanical Quadratures, In Particular, with Positive Coefficients

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