EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 96[110], pp. 233–238 (2014)

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ON A CONVERGENT PROCESS OF BERNSTEIN

Laszlo Szili and Péter Vértesi

Department of Numerical Analysis, Lorand Eötvös University, Budapest, Hungary and Alfréd Rényi Mathematical Institute of the Hungarian Academy of Sciences, Budapest, Hungary

Abstract: Bernstein in 1930 defined a convergent interpolation process based on the roots of the Chebyshev polynomials. We prove a similar statement for certain Jacobi roots.

Keywords: interpolation, Bernstein process, Jacobi roots

Classification (MSC2000): 41A05

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Electronic fulltext finalized on: 30 Oct 2014. This page was last modified: 24 Nov 2014.

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