Differentiation by integration using orthogonal polynomials, a survey
arXiv:1102.5219 · doi:10.1016/j.jat.2012.01.003
Abstract
This survey paper discusses the history of approximation formulas for n-th order derivatives by integrals involving orthogonal polynomials. There is a large but rather disconnected corpus of literature on such formulas. We give some results in greater generality than in the literature. Notably we unify the continuous and discrete case. We make many side remarks, for instance on wavelets, Mantica's Fourier-Bessel functions and Greville's minimum R_alpha formulas in connection with discrete smoothing.
v3: 35 pages, 3 figures; minor corrections
References in corpus (1)
Cited by in corpus (8)
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