The Lebesgue Constant for Sinc Approximations View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2014

AUTHORS

Frank Stenger , Hany A. M. El-Sharkawy , Gerd Baumann

ABSTRACT

Let Λ n denote the Lebesgue constant for Sinc approximation using n consecutive terms of the Sinc expansion of a function f. In this contribution we derive explicit values of a and b and the expression \(\varLambda_{n} = a\,\log (n) + b + \mathcal{O}(1/n^{2})\). We also provide graphic, illustrations of Lebesgue functions and Lebesgue constants for polynomial and Sinc approximations. These enable novel insights into the stability of these approximations in computation. More... »

PAGES

319-335

Book

TITLE

New Perspectives on Approximation and Sampling Theory

ISBN

978-3-319-08800-6
978-3-319-08801-3

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-319-08801-3_13

DOI

http://dx.doi.org/10.1007/978-3-319-08801-3_13

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1021518077


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