This article is cited in 13 papers

The divergence of Lagrange interpolation processes in eigenfunctions of the Sturm–Liouville problem

A. Yu. Trynin

Chair of Mathematical Physics and Computing Mathematics, Saratov State University, Saratov, Russia

Abstract: In this paper we construct the example of a continuous function, for which the Lagrange–Sturm–Liouville process diverges almost everywhere.

Keywords: sampling theorem, interpolation, uniform convergence, sinc approximation.

UDC: 517.518

Received: 25.02.2009

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:11, 66–76

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