New Inequalities for the Zeros of Jacobi Polynomials

DOI10.1137/0518111zbMath0639.33012OpenAlexW1967564355MaRDI QIDQ3781378

Luigi Gatteschi

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518111

zbMATH Keywords

inequalitieszerosapproximationsJacobi polynomialSturm comparison theoremultraspherical polynomial

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10)

Related Items (14)

Gaussian quadrature formulae -- second Peano kernels, nodes, weights and Bessel functions ⋮ An improved error bound on Gauss quadrature ⋮ Estimates for the variance of positive quadrature formulas ⋮ Gaussian integration of Chebyshev polynomials and analytic functions ⋮ Zeros of Gegenbauer and Hermite polynomials and connection coefficients ⋮ On the variance of Gaussian quadrature formulae in the ultraspherical case ⋮ On the computation of the Gauss-Legendre quadrature formula with a given precision ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ Conjectured inequalities for Jacobi polynomials and their largest zeros ⋮ Zeros of a family of hypergeometric para‐orthogonal polynomials on the unit circle ⋮ On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity ⋮ Interlacing of the zeros of Jacobi polynomials with different parameters ⋮ Luigi Gatteschi's work on asymptotics of special functions and their zeros ⋮ Some sharp inequalities for algebraic polynomials

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