A class of orthogonal functions given by a three term recurrence formula

DOI10.1090/mcom3041zbMath1336.42017arXiv1305.3239OpenAlexW2076397789MaRDI QIDQ2796021

Teresa E. Pérez, A. Sri Ranga, Cleonice F. Bracciali, John H. McCabe

Publication date: 23 March 2016

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3239

zbMATH Keywords

orthogonal functionsquadrature rulesorthogonal polynomials on the unit circleself-inversive polynomialsthree term recurrence

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) Interpolation in approximation theory (41A05) Numerical quadrature and cubature formulas (65D32) Other special orthogonal polynomials and functions (33C47)

Related Items (9)

A modified least squares method: approximations on the unit circle and on \((-1,1)\) ⋮ Para-orthogonal polynomials on the unit circle satisfying three term recurrence formulas ⋮ Verblunsky coefficients related with periodic real sequences and associated measures on the unit circle ⋮ Quasi-analytical root-finding for non-polynomial functions ⋮ Extreme zeros in a sequence of para-orthogonal polynomials and bounds for the support of the measure ⋮ Orthogonal polynomials on the unit circle: Verblunsky coefficients with some restrictions imposed on a pair of related real sequences ⋮ Mixed orthogonality on the unit ball ⋮ On zeros of paraorthogonal polynomials ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures

Uses Software

• OPQ

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