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Displaying similar documents to “Orthogonal polynomials on the semicircle”

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.

Inequalities of Ostrowski-Grüss type and applications

Nenad Ujević (2002)

Applicationes Mathematicae

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Some new inequalities of Ostrowski-Grüss type are derived. They are applied to the error analysis for some Gaussian and Gaussian-like quadrature formulas.

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...