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New estimations of the remainder in three-point quadrature formulae of Euler type (CROSBI ID 216275)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić Penava, Mihaela ; Vukelić, Ana New estimations of the remainder in three-point quadrature formulae of Euler type // Journal of mathematical inequalities, 9 (2015), 4; 1143-1156. doi: 10.7153/jmi-09-87

Podaci o odgovornosti

Klaričić Bakula, Milica ; Pečarić, Josip ; Ribičić Penava, Mihaela ; Vukelić, Ana

engleski

New estimations of the remainder in three-point quadrature formulae of Euler type

We derive some new bounds for the general three-point quadrature formulae of Euler type using some inequalities for the Chebyshev functional. As special cases, we provide some new error estimates for Euler Simpson formula, dual Euler Simpson formula and Euler Maclaurin formula. Also, applications for Euler Bullen- Simpson formula are obtained.

Chebyshev functional ; Three-point quadrature ; Euler Simpson formula ; dual Euler Simpson formula ; Euler Maclaurin formula ; Euler Bullen-Simpson formula

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Podaci o izdanju

9 (4)

2015.

1143-1156

objavljeno

1846-579X

1848-9575

10.7153/jmi-09-87

Povezanost rada

Matematika

Poveznice
Indeksiranost