Orthogonality of quasi-orthogonal polynomials

DOI10.2298/FIL1820953BzbMath1499.33035arXiv1901.01128OpenAlexW2951141024MaRDI QIDQ5087124

Francisco Marcellán, Serhan Varma, Cleonice F. Bracciali

Publication date: 8 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.01128

zbMATH Keywords

orthogonal polynomialsinverse problemsGaussian quadrature formulasquasi-orthogonal polynomialsChristoffel numberspositive quadrature formulas

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)

Related Items (6)

On the location of zeros of quasi-orthogonal polynomials with applications to some real self-reciprocal polynomials ⋮ Local perturbation of the discrete Schrödinger operator and a generalized Chebyshev oscillator ⋮ The algebraic equation \(xu=\lambda x^3 v\) in the symmetric case ⋮ Linear combinations of \(d\)-orthogonal polynomials ⋮ Geronimus transformations of bivariate linear functionals ⋮ 2-Orthogonal polynomials and Darboux transformations. Applications to the discrete Hahn-classical case

Uses Software

• OPQ

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Orthogonal polynomials associated with an inverse quadratic spectral transform
• On orthogonal polynomials with perturbed recurrence relations
• Sur la suite de polynômes orthogonaux associée à la forme \(u=\delta_ c+\lambda (x-c)^{-1}L\). (On the sequence of orthogonal polynomials associated with the form \(u=\delta_ c+\lambda (x-c)^{- 1}L)\)
• On the linear functionals associated to linearly related sequences of orthogonal polynomials
• When do linear combinations of orthogonal polynomials yield new sequences of orthogonal polynomials?
• Jacobi matrices for measures modified by a rational factor
• Quasi-orthogonal polynomials, quadrature, and interpolation
• Rational spectral transformations and orthogonal polynomials
• On the inverse problem of the product of a semi-classical from by a polynomial
• On linearly related orthogonal polynomials and their functionals
• On kernel polynomials and self-perturbation of orthogonal polynomials
• Quasi-orthogonality with applications to some families of classical orthogonal polynomials.
• Special linear combinations of orthogonal polynomials
• Semi-classical character and finite-type relations between polynomial sequences
• Darboux transformation and perturbation of linear functionals
• Mechanische Quadraturen mit positiven Cotesschen Zahlen
• On rational transformations of linear functionals: direct problem
• Generating new classes of orthogonal polynomials
• Upward extension of the Jacobi matrix for orthogonal polynomials
• Orthogonal polynomials generated by a linear structure relation: inverse problem
• On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line
• New families of orthogonal polynomials
• The zeros of linear combinations of orthogonal polynomials
• On an inverse problem for a linear combination of orthogonal polynomials
• On Orthogonal Polynomials
• Linear Combinations of Orthogonal Polynomials Generating Positive Quadrature Formulas
• CONVERGENCE OF PADÉ APPROXIMANTS OF STIELTJES TYPE MEROMORPHIC FUNCTIONS AND COMPARATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS
• Positive Jacobi Polynomial Sums, II
• A Characterization of Positive Quadrature Formulae
• RELATIVE ASYMPTOTICS FOR POLYNOMIALS ORTHOGONAL ON THE REAL AXIS
• Zeros of linear combinations of orthogonal polynomials
• On Quasi-Orthogonal Polynomials
• On quasi-orthogonal polynomials
• On quasi-orthogonal polynomials
• Connection coefficients and zeros of orthogonal polynomials

This page was built for publication: Orthogonality of quasi-orthogonal polynomials