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New error bounds for the Simpson's quadrature rule and applications (CROSBI ID 136219)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Ujević, Nenad
New error bounds for the Simpson's quadrature rule and applications // Computers & mathematics with applications, 53 (2007), 1; 64-72-x
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Ujević, Nenad
engleski
New error bounds for the Simpson's quadrature rule and applications
New error bounds for the well-known Simpson's quadrature rule are derived. If we use these bounds then we can apply the Simpson's rule to functions whose first, second or third derivatives are unbounded below or above. Furthermore, these error bounds can be (much) better than some recently obtained bounds. Applications in numerical integration are also given.
Simpson's quadrature rule; error bounds; numerical integration
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