Differentiation of Fourier Series via Orthogonal Derivative

Authors

  • R. Cruz-Santiago ESIME-Zacatenco, ICE Instituto Politécnico Nacional Edif.5, 1er. Piso, Col. Lindavista
  • J. López-Bonilla ESIME-Zacatenco, ICE Instituto Politécnico Nacional Edif.5, 1er. Piso, Col. Lindavista
  • R. López-Vázquez ESIME-Zacatenco, ICE Instituto Politécnico Nacional Edif.5, 1er. Piso, Col. Lindavista

DOI:

https://doi.org/10.3126/jist.v20i2.13963

Keywords:

Orthogonal derivative, least squares method, Fejér-Lanczos ?-factors, differentiation of FS

Abstract

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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Published

2015-11-26

How to Cite

Cruz-Santiago, R., López-Bonilla, J., & López-Vázquez, R. (2015). Differentiation of Fourier Series via Orthogonal Derivative. Journal of Institute of Science and Technology, 20(2), 113–114. https://doi.org/10.3126/jist.v20i2.13963

Issue

Vol. 20 No. 2 (2015)

Section

Research Articles

License

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