Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae
DOI: https://doi.org/10.3846/13926292.2016.1247755Abstract
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 zeros of orthogonal polynomials are considered.
Keywords:
Hermite interpolating polynomial, Green function, quadrature formulae, Holder’s inequality, Čebyšev functional, orthogonal polynomialsHow to Cite
Aras-Gazic, G., Pečaric, J., & Vukelic, A. (2016). Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae. Mathematical Modelling and Analysis, 21(6), 836-851. https://doi.org/10.3846/13926292.2016.1247755
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Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
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2016-11-17
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Copyright
Copyright (c) 2016 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Aras-Gazic, G., Pečaric, J., & Vukelic, A. (2016). Integral Error Representation of Hermite Interpolating Polynomial and Related Inequalities for Quadrature Formulae. Mathematical Modelling and Analysis, 21(6), 836-851. https://doi.org/10.3846/13926292.2016.1247755