Differentiation of Fourier Series via Orthogonal Derivative

R. Cruz-Santiago, J. López-Bonilla, R. López-Vázquez
2015 Journal of Institute of Science and Technology  
<p>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.</p><p>Journal of Institute of Science and Technology, 2015, <strong>20(2): </strong>113-114</p>
doi:10.3126/jist.v20i2.13963 fatcat:qpaynemc7nfn7i52u77ismdwau