On weight functions which admit explicit Gauss-Turán quadrature formulas

Laura Gori, Charles A. Micchelli

Type: Article

Publication Date: 1996-01-01

Citations: 29

DOI: https://doi.org/10.1090/s0025-5718-96-00769-7

Abstract

The main purpose of this paper is the construction of explicit Gauss-TurÃ¡n quadrature formulas: they are relative to some classes of weight functions, which have the peculiarity that the corresponding $s$-orthogonal polynomials, of the same degree, are independent of $s$. These weights too are introduced and discussed here. Moreover, highest-precision quadratures for evaluating Fourier-Chebyshev coefficients are given.

Locations

Mathematics of Computation - View - PDF
CiteSeer X (The Pennsylvania State University) - View - PDF

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