engleski

Integral error representation of Hermite interpolating polynomial and related inequalities for quadrature formulae

We consider integral error representation related to the Hermite inter-polating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Hölder’s inequality and some inequalities for the Čebyšev functional. As a special case, generalizations for the zeros of orthogonal polynomials are considered.

Hermite interpolating polynomial ; Green function ; quadrature formulae ; Hölder’s inequality ; Čebyšev functional ; orthogonal polynomials

nije evidentirano