Fourier series and the Lubkin W-transform |
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| Authors: | A. Jason Boggess B. Eric Bunch C. Charles N. Moore |
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| Affiliation: | (1) Department of Mathematics, Iowa State University, Ames, IA 50012, USA;(2) Baylor University, Waco, TX 76798, USA;(3) Department of Mathematics, Kansas State University, Manhattan, KS 66506, USA |
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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. The authors were partially supported by the Kansas State University REU and NSF grant GOMT530725. |
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| Keywords: | Fourier series Lubkin W-transform Convergence acceleration |
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