Positivity of the weights of interpolatory quadrature formulae with Bernstein–Szegö abscissae

Autor: Sotirios E. Notaris
Rok vydání: 2008
Předmět:
Zdroj: Numerical Algorithms. 49:315-329
ISSN: 1572-9265
1017-1398
DOI: 10.1007/s11075-008-9176-9
Popis: We consider interpolatory quadrature formulae, relative to the Legendre weight function w(t) = 1 on [ − 1,1], having as nodes the zeros of any one of the nth degree orthogonal polynomials relative to the Bernstein–Szego weight functions $$w_{\gamma}^{\left(\pm 1/2\right)}(t)=\frac{\left(1-t^{2}\right)^{\pm 1/2}} {1-\displaystyle\frac{4\gamma}{(1+\gamma)^{2}}t^{2}},\ \ -1
Databáze: OpenAIRE
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