The δ-squared process and Fourier series of functions with multiple jumps

نویسندگان

  • Emily Jennings
  • Charles N. Moore
  • Daniel Muñiz
  • Ashley Toth
چکیده

We investigate the effects of the δ transform on the partial sums of Fourier series for functions with a finite number of jumps, which in general, converge slowly. Although the δ process is known to accelerate convergence for many sequences, we prove that in this case, the transformed series will usually fail to converge to the original function. 2000 Mathematics Subject Classification: 65B10, 65T40, 42A20

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تاریخ انتشار 2011