Differentiation of Fourier Series via Orthogonal Derivative
R. Cruz-Santiago, J. López-Bonilla, R. López-Vázquez
Nov 26, 2015
Citations
2
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Journal
Journal of the Institute of Science and Technology
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Key Takeaway Key Takeaway: Orthogonal derivatives can also lead to Fejer-Lanczos Factors in Fourier series differentiation, indicating their importance in differential equations.
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 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
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