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Publication Cover
Applicable Analysis
An International Journal
Volume 49, 1993 - Issue 1-2
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The sampling series as a limiting case of lagrange interpolation

Guido Hinsen Lehrstuhl A für Mathcmatik, RWTII Aachen, Templergraben, Aachen, 5100, Federal Republic of Germany
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Dietmar Klösters Lehrstuhl A für Mathcmatik, RWTII Aachen, Templergraben, Aachen, 5100, Federal Republic of Germany
Pages 49-60 | Received 15 Sep 1991, Published online: 02 May 2007
 
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Abstract

On each interval the Shannon sampling series is shown to be a uniform limit of Lagrange interpolation polynomials. This result is also extended to nonuni-form sampling.

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