Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae

We consider integral error representation related to the Hermite interpolating polynomial and derive some new estimations of the remainder in quadrature formulae of Hermite type, using Holder’s inequality and some inequalities for the Čebyšev functional. As a special case, generalizations for the ze...

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Bibliographic Details
Main Authors: Gorana Aras-Gazic, Josip Pečaric, Ana Vukelic
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2016-11-01
Series:Mathematical Modelling and Analysis
Subjects:
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/867