The Remainder Term of Gauss–Turán Quadratures for Analytic Functions

Miodrag M. Spalević () and Miroslav S. Pranić ()
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Miodrag M. Spalević: University of Beograd
Miroslav S. Pranić: University of Beograd

A chapter in Approximation and Computation, 2010, pp 253-266 from Springer

Abstract: Abstract We consider quadrature rules with multiple nodes over a finite interval, taken to be [-1, 1] 1 $$\int^{1}_{-1} f(t) w(t) dt = \sum \limits ^n_{v=1} \sum \limits ^{2s}_{i=0}\, {\rm A_i},v f^(i) \,(\tau v) \,+\, {\rm R}_n,s(f), $$ involving a positive weight function w, assumed integrable over [-1, 1].

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4419-6594-3_16

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DOI: 10.1007/978-1-4419-6594-3_16

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