Legendre polynomials as a recommended basis for numerical differentiation in the presence of stochastic white noise

DOI10.1515/jip-2012-0050zbMath1276.65016OpenAlexW2323537213MaRDI QIDQ2848393

Shuai Lu, Valeriya Naumova, Sergei V. Pereverzyev

Publication date: 26 September 2013

Published in: jiip (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jip-2012-0050

zbMATH Keywords

regularization numerical differentiation Legendre polynomials adaptive parameter choice Savitzky-Golay method diabetes technology stochastic white noise

Mathematics Subject Classification ID

Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Biochemistry, molecular biology (92C40) White noise theory (60H40) Numerical differentiation (65D25)

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