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The Ostrowski Type Inequalities with theThe Ostrowski Type Inequalities with the application to the three point integral formula application to the three point integral formula

AUTORI:

SANJA SPUŽEVIĆ;

Sanja Kovač;

Josip Pečarić;

ZNANSTVENA PODRUČJA
SADRŽAJ (eng)
The generalization of the integral formula with three nodes is introduced, and some sharp and the best possible inequalities for the functions whose higher order derivatives belong to $L_p$ spaces are given. We establish non-weighted version of the three point integral formula. From the general non-weighted formula we shall get the famous Simpson, dual Simpson and Maclaurin formulae. Some new errors of approximation in these integral formulae are obtained.
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