In this paper, a coordinates rotating algorithm for computing Fourier series with only basic operations adding, subtracting, and shifting was put forward. Convergence of the algorithm was proved and error estimation of the algorithm was discussed.
GuFeng, Convergence and Error Estimation of Coordinate Rotating Algorithm and Its ExpansionJournal On Numerical Methods And Computer Applications, Vol. 27, No.1 pp. 1–8.
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ShuyunWang, He Jiaxing, Song Dongzhe, On Summability Theory and Method of Fourier Series(_), JOURNAL OF MATHEMATICAL STUDY, 2005 /38 /1.
