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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



Discrete least squares and quadrature formulas

Author: M. Wayne Wilson
Journal: Math. Comp. 24 (1970), 271-282
MSC: Primary 65.55
MathSciNet review: 0275677
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Abstract: The purpose of this paper is two-fold. Firstly, we explore some of the intimate connections between discrete least squares processes and quadratures. Secondly, we present an algorithm to construct Gauss-type integration formulas, and consider briefly the method proposed by Gautschi [2].

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Keywords: Discrete inner product, discrete least squares, least squares approximations, numerical integration, Gaussian integration, orthogonal polynomials, construction of inner products, construction of orthogonal polynomials
Article copyright: © Copyright 1970 American Mathematical Society