Differentiation of Fourier Series via Orthogonal Derivative
Keywords:
Orthogonal derivative, least squares method, Fejér-Lanczos ?-factors, differentiation of FSAbstract
It is very known that if the operator d/dx acts on each term into a convergent Fourier Series (FS), then it may result a divergent series. This situation is remedied applying the symmetric derivative to FS, which implies the existence of the important Fejér-Lanczos Factors. In this paper, we show that the orthogonal derivative also leads to these Factors.
Journal of Institute of Science and Technology, 2015, 20(2): 113-114
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