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

MSC:
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
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[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
[3] Hamming, R.W, Numerical methods for scientists and engineers, (1962), McGraw-Hill New York · Zbl 0952.65500
[4] Hildebrand, F.B, Introdution to numerical analysis, (1974), McGraw-Hill New York · Zbl 0279.65001
[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
[9] Meinardus, C, Approximation of functions: theory and numerical methods, () · Zbl 0152.15202
[10] Natanson, I.P, Uniform approximation, () · Zbl 0133.31101
[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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