On some problems of P. Turán concerning \(L_m\) extremal polynomials and quadrature formulas

DOI10.1006/JATH.1999.3342zbMath0937.41014OpenAlexW1985271888MaRDI QIDQ1125455

Ying Guang Shi

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1006/jath.1999.3342

zbMATH Keywords

Cotes numbersextremal polynomialTurán quadrature

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (3)

Quadratures with multiple nodes, power orthogonality, and moment-preserving spline approximation ⋮ Construction of \(\sigma\)-orthogonal polynomials and Gaussian quadrature formulas ⋮ New quadrature formulas based on the zeros of the Chebyshev polynomials of the second kind

Cites Work

• Unnamed Item
• Generalized Gaussian quadrature formulas
• On some open problems of approximation theory
• A solution of problem 26 of P. Turán
• On a quadrature formula of Micchelli and Rivlin
• Turán Formulae and Highest Precision Quadrature Rules for Chebyshev Coefficients
• An analogue of problem 26 of P. Turán

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