Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae. Issue 6 (1st November 2016)

• Record Type: Journal Article
• Authors: Aras-Gazić, Gorana; Pečarić, Josip; Vukelić, Ana
• Is Part Of: Mathematical modelling and analysis. Volume 21:Issue 6(2016)
• Page Start: 836
• Page End: 851
• Publication Date: 2016-11-01
• Subjects: Hermite interpolating polynomial -- Green function -- quadrature formulae -- Hölder's inequality -- Čebyšev functional -- orthogonal polynomials; 26D15 -- 26D07 -- 26A51; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2016.1247755
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: 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.