# Differentiation of Fourier Series via Orthogonal Derivative

```@article{CruzSantiago2015DifferentiationOF,
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},
year={2015},
volume={20},
pages={113-114}
}```
• Published 26 November 2015
• Mathematics
• 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
Differentiation of a Fourier series
• Mathematics
• 2018
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
An Inequality for the Fejér-Lanczos Factors
• Mathematics
• 2017
We find, via numerical experimentation, an inequality satisfied by the Fejer-Lanczos factors. Let’s remember that those factors are important for a correct differentiation of Fourier series.

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