Mean convergence of Hermite-Fejér interpolation

Weighted L p convergence of Hermite-Fejér interpolation based on the zeros of generalized Jacobi polynomials is investigated. The main result of the paper gives necessary and sufficient conditions for such convergence for all continuous functions.

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Bibliographic Details
Published inJournal of mathematical analysis and applications Vol. 105; no. 1; pp. 26 - 58
Main Authors Nevai, Paul, Vértesi, Péter
Format Journal Article
LanguageEnglish
Published San Diego, CA Elsevier Inc 1985
Elsevier
Subjects
Exact sciences and technology
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical approximation
Sciences and techniques of general use
Interpolation
Hermite Fejer interpolation
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Summary:Weighted L p convergence of Hermite-Fejér interpolation based on the zeros of generalized Jacobi polynomials is investigated. The main result of the paper gives necessary and sufficient conditions for such convergence for all continuous functions.
ISSN:0022-247X
1096-0813
DOI:10.1016/0022-247X(85)90095-2