On lagrange and hermite interpolation. I

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1987 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 49, pages 293-305 (issn: 0236-5294, eissn: 1588-2632,

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Authors: Muneer, Y. E.;

doi: 10.1007/bf01950990

On lagrange and hermite interpolation. I

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Abstract

For Lagrange interpolation of degree at most n-1, and other two kinds of Hermite interpolation (one has degree at most m and the other has minimal degree m), the author proves their convergence to higher derivatives and gives each of them an estimate order of approximation to higher derivatives.

Related Organizations

King Abdulaziz University
Saudi Arabia

Keywords

convergence, order of approximation, Numerical interpolation, Lagrange interpolation, Hermite interpolation, Interpolation in approximation theory

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