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Fourier series and the Lubkin W-transform

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Abstract

We discuss the effect of a particular sequence acceleration method, the Lubkin W-transform, on the partial sums of Fourier series. We consider a very general class of functions with a single jump discontinuity, and prove that this method fails on a large set of points.

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Authors and Affiliations

  1. Department of Mathematics, Iowa State University, Ames, IA, 50012, USA

    A. Jason Boggess

  2. Baylor University, Waco, TX, 76798, USA

    B. Eric Bunch

  3. Department of Mathematics, Kansas State University, Manhattan, KS, 66506, USA

    C. Charles N. Moore

Authors
  1. A. Jason Boggess
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  2. B. Eric Bunch
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  3. C. Charles N. Moore
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Corresponding author

Correspondence to C. Charles N. Moore.

Additional information

The authors were partially supported by the Kansas State University REU and NSF grant GOMT530725.

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Boggess, A.J., Bunch, B.E. & Moore, C.C.N. Fourier series and the Lubkin W-transform. Numer Algor 47, 133–142 (2008). https://doi.org/10.1007/s11075-007-9151-x

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  • DOI: https://doi.org/10.1007/s11075-007-9151-x

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