\(L_m\) extremal polynomials associated with generalized Jacobi weights

DOI10.1007/S10255-003-0096-0zbMath1061.41003OpenAlexW2321342182MaRDI QIDQ1879127

Ying Guang Shi

Publication date: 22 September 2004

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10255-003-0096-0

zbMATH Keywords

Cotes numbersextremal polynomialsChristoffel type functionsJacobi weightsTurán quadrature formula

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items (5)

A note on the distance between two consecutive zeros of \(m\)-orthogonal polynomials for a generalized Jacobi weight ⋮ Christoffel-type functions for \(m\)-orthogonal polynomials for Freud weights ⋮ On generalized Christoffel functions ⋮ Generalized Christoffel functions for power orthogonal polynomials ⋮ Christoffel type functions for \(m\)-orthogonal polynomials

Cites Work

• Generalized Gaussian quadrature formulas
• On some open problems of approximation theory
• A solution of problem 26 of P. Turán
• On Christoffel type functions for \(L_m\) extremal polynomials. I
• On Christoffel type functions for \(L_m\) extremal polynomials. II

This page was built for publication: \(L_m\) extremal polynomials associated with generalized Jacobi weights