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Prony’s method for completely monotonic functions. (English) Zbl 0357.65005

65D05 Numerical interpolation
41A30 Approximation by other special function classes
41A25 Rate of convergence, degree of approximation
11L03 Trigonometric and exponential sums, general
41A05 Interpolation in approximation theory
Full Text: DOI
[1] Braess, D, Rationale interpolation, normalität und monosplines, Numer. math., 22, 219-232, (1974) · Zbl 0281.65005
[2] Davis, P.J, Interpolation and approximation, (1963), Blaisdell Waltham, Mass · Zbl 0111.06003
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[5] Kammler, D.W, Approximation with sums of exponentials in Lp[0, ∞], J. approximation theory, 16, 384-408, (1976) · Zbl 0322.41014
[6] Kammler, D.W, Chebyshev approximation of completely monotonie functions by sums of exponentials, SIAM J. numer. anal., 13, 761-774, (1976) · Zbl 0333.41016
[7] Karlin, S, Total positivity, (1968), Stanford Univ. Press Stanford, Calif · Zbl 0219.47030
[8] Lanczos, C, Applied analysis, (1956), Prentice-Hall Englewood Cliffs, N. J · Zbl 0111.12403
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[11] De Prony, R, Essai expérimentale et analytique, J. écol. polytech. (Paris), 1, 24-76, (1795)
[12] Widder, D.V, The Laplace transform, (1941), Princeton Univ. Press Princeton, N. J · Zbl 0060.24801
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