Weighted L p convergence of hermite interpolation of higher order

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 English Publisher:Springer Science and Business Media LLCJournal:Acta Mathematica Hungarica, volume 59, pages 423-438 (issn: 0236-5294, eissn: 1588-2632,

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Authors: Vértesi, P.; Xu, Y.;

doi: 10.1007/bf00050905

Weighted L p convergence of hermite interpolation of higher order

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Abstract

Let \(n\) be a positive integer, and let \(-1-1\). For every integer \(m\geq 1\) we consider the Hermite interpolation operator \(H_{nm}(w,f)\) which is defined to be the unique polynomial of degree \(\leq mn-1\) such that \(H^{(j)}_{nm}(w,f,x_{nn})=f^{(j)}(x_{nn})\), \(1\leq k\leq n\), \(0\leq j\leq m-1\). Let \(0

Related Organizations

The University of Texas at Austin
United States
Hungarian Academy of Sciences
Hungary

Keywords

Hermite interpolation operator, Jacobi polynomials, Interpolation in approximation theory

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