Mean convergence of hermite interpolation revisited

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 1995 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 69, pages 185-210 (issn: 0236-5294, eissn: 1588-2632,

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Authors: Vértesi, P.; Xu, Y.;

doi: 10.1007/bf01876225

Mean convergence of hermite interpolation revisited

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Abstract

Necessary and sufficient conditions for the mean convergence of Hermite interpolation of second order were recently obtained by \textit{P. Nevai} and \textit{Y. Xu} [J. Approximation Theory 77, No. 3, 282-304 (1994; Zbl 0806.41004)]. In the present paper the authors examine the mean convergence of Hermite interpolation of higher order with extended nodes.

Related Organizations

University of Oregon
United States
Hungarian Academy of Sciences
Hungary

Keywords

Jacobi polynomials, Lagrange interpolation, Rate of convergence, degree of approximation, Hermite interpolation, Interpolation in approximation theory

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