Displaying similar documents to “Quadrature rules for periodic integrands. Bi-orthogonality and para-orthogonality.”

Integration of polynomials

Paweł Szeptycki (2004)

Applicationes Mathematicae

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We prove that the only functions for which certain standard numerical integration formulas are exact are polynomials.

Special Classes of Orthogonal Polynomials and Corresponding Quadratures of Gaussian Type

Milovanovic, Gradimir V., Cvetkovic, Aleksandar S. (2012)

Mathematica Balkanica New Series

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MSC 2010: 33C47, 42C05, 41A55, 65D30, 65D32 In the first part of this survey paper we present a short account on some important properties of orthogonal polynomials on the real line, including computational methods for constructing coefficients in the fundamental three-term recurrence relation for orthogonal polynomials, and mention some basic facts on Gaussian quadrature rules. In the second part we discuss our Mathematica package Orthogonal Polynomials (see [2]) and show...

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D. Mangeron, A. M. Krall, D. L. Fernández (1983)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

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