On a theorem of C. Posse concerning Gaussian quadrature of Chebyshev type

Förster, Klaus-Jürgen

doi:10.1090/S0025-5718-1994-1219703-X

On a theorem of C. Posse concerning Gaussian quadrature of Chebyshev type
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Math. Comp. 62 (1994), 719-724 Request permission

Abstract:

We consider (n, m) Chebyshev formulae of algebraic degree m using n nodes. The aim of this short note is to show that by a simple algebraic method C. Posse’s theorem concerning Gaussian quadrature of Chebyshev type can be improved. Furthermore, we given an application of this method to Gauss-Kronrod quadrature of Chebyshev type.

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Algebra

Sur les quadratures

14

Sur les formules de quadrature à coefficients égaux

90