Title of article
Fourier series and the δ2 process
Author/Authors
Abebe، نويسنده , , Eyuel and Graber، نويسنده , , Jameson and Moore، نويسنده , , Charles N.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
6
From page
146
To page
151
Abstract
We discuss the effect of a particular sequence acceleration method, the δ 2 process, on the partial sums of Fourier series. We show that for a very general class of functions, this method fails on a dense set of points; not only does it not speed up convergence, it turns the sequence of partial sums into a sequence with multiple limit points.
Keywords
Fourier series , convergence acceleration , Shanks transformation , ? 2 process
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2009
Journal title
Journal of Computational and Applied Mathematics
Record number
1554786
Link To Document