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On families of quadrature formulas based on Euler identities (CROSBI ID 167939)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Franjić, Iva ; Pečarić, Josip ; Perić, Ivan On families of quadrature formulas based on Euler identities // Applied mathematics and computation, 217 (2011), 9; 4516-4528. doi: 10.1016/j.amc.2010.11.002

Podaci o odgovornosti

Franjić, Iva ; Pečarić, Josip ; Perić, Ivan

engleski

On families of quadrature formulas based on Euler identities

A family consisting of quadrature formulas which are exact for all polynomials of order <=5 is studied. Changing the coefficients, a second family of quadrature formulas, with the degree of exactness higher than that of the formulas from the first family, is produced. These formulas contain values of the first derivative at the end points of the interval and are sometimes called "corrected".

closed 5-point quadrature formulas; corrected quadrature formulas; Lobatto formulas; Gauss formulas; Bernoulli polynomials; extended Euler formulas; sharp estimates of error

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Podaci o izdanju

217 (9)

2011.

4516-4528

objavljeno

0096-3003

10.1016/j.amc.2010.11.002

Povezanost rada

Matematika

Poveznice
Indeksiranost