New estimations of the remainder in three-point quadrature formulae of Euler type (CROSBI ID 216275)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
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