Fourier series and the Lubkin W-transform

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.

• Type: Journal
• Year: 2008
• Where: NA
• Authors: A. Jason Boggess, B. Eric Bunch, C. Charles N. Moore
• Keywords: NA 2008, Partial Sums, Sequence Acceleration Method, Single Jump Discontinuity