A new quadrature formula associated with the ultraspherical polynomials

DOI10.1016/0021-9045(87)90004-9zbMath0638.41025OpenAlexW2092094279MaRDI QIDQ1099345

A. K. Varma, Paul G. Nevai

Publication date: 1987

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(87)90004-9

zbMATH Keywords

ultraspherical polynomialsBirkhoff-type quadrature formulaultraspherical nodes

Mathematics Subject Classification ID

Approximation by polynomials (41A10) Approximate quadratures (41A55)

Related Items (6)

Géza Freud, orthogonal polynomials and Christoffel functions. A case study ⋮ On some weight functions admitting \((0,2)\) quadrature formulae with a high algebraic degree of precision ⋮ Birkhoff quadrature formulae based on the zeros of Jacobi polynomials ⋮ On birkhoff (0,3) and (0,4) quadrature formulae ⋮ On Birkhoff quadrature formulas. II ⋮ On Birkhoff Quadrature Formulas

Cites Work

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• On some open problems of approximation theory
• On Some Open Problems of P. Turan Concerning Birkhoff Interpolation
• On quasi-Hermite-Fejér interpolation
• Sieved Ultraspherical Polynomials
• The Associated Ultraspherical Polynomials and their _q-Analogues
• On the Numerators of the Convergents of the Stieltjes Continued Fractions

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