Differentiation of Fourier Series via Orthogonal Derivative

  title={Differentiation of Fourier Series via Orthogonal Derivative},
  author={Rene Cruz-Santiago and Jos{\'e} L. L{\'o}pez-Bonilla and R. L{\'o}pez-V{\'a}zquez},
  journal={Journal of the Institute of Science and Technology},
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 Fejer-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 
2 Citations
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It is very known that if the operator 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
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