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Estimates for the Gauss 4-point formula for functions with low degree of smoothness (CROSBI ID 128507)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Franjić, Iva ; Perić, Ivan ; Pečarić, Josip
Estimates for the Gauss 4-point formula for functions with low degree of smoothness // Applied mathematics letters, 20 (2007), 1; 1-6-x
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Franjić, Iva ; Perić, Ivan ; Pečarić, Josip
engleski
Estimates for the Gauss 4-point formula for functions with low degree of smoothness
The aim of this work is to derive the Gauss four-point quadrature formula using Euler-type identities. The advantage of this approach is that it enables us to obtain estimates of the error for functions with low degree of smoothness and also to produce quadrature formulae which contain values of derivatives at the end points of the interval.
Gauss quadrature formulae; Bernoulli polynomials; extended Euler formulae
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