engleski

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

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.

sequences of harmonic polynomials, numerical integration, $L_p$ spaces, inequalities, Gaussian quadrature, Simpson's rule, dual Simpson's rule, Maclaurin's rule

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