Baszenski, G., Delvos, F.J. and Tasche, M. (1995) A United Approach to Accelerating Trigonometric Expansions. Computers & Mathematics with Applications, 30, 33-49.
http://dx.doi.org/10.1016/0898-1221(95)00084-4

has been cited by the following article:

• TITLE: Alternative Fourier Series Expansions with Accelerated Convergence

  AUTHORS: Wenlong Li

  KEYWORDS: Fourier Series, Trigonometric Series, Fourier Approximation, Convergence Acceleration

  JOURNAL NAME: Applied Mathematics, Vol.7 No.15, September 23, 2016

  ABSTRACT: The key objective of this paper is to improve the approximation of a sufficiently smooth nonperiodic function defined on a compact interval by proposing alternative forms of Fourier series expansions. Unlike in classical Fourier series, the expansion coefficients herein are explicitly dependent not only on the function itself, but also on its derivatives at the ends of the interval. Each of these series expansions can be made to converge faster at a desired polynomial rate. These results have useful implications to Fourier or harmonic analysis, solutions to differential equations and boundary value problems, data compression, and so on.