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Список литературы
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E. Meijering, “A chronology of interpolation: from ancient astronomy to modern signal and image processing”, Proceedings of the IEEE, 90:3 (2002), 319–342 http://bigwww.epfl.ch/publications/meijering0201.pdf  |
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P. Thévenaz, T. Blu, M. Unser, “Interpolation revisited”, IEEE Transactions on Medical Imaging, 19:7 (2000), 739–758 http://bigwww.epfl.ch/publications/thevenaz0002.pdf |
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Б. И. Квасов, “Монотонная и выпуклая интерполяция весовыми кубическими сплайнами”, Ж. вычисл. матем. и матем. физ., 53:10 (2013), 1610–1621     ; B. I. Kvasov, “Monotone and convex interpolation by weighted cubic splines”, Comput. Math. Math. Phys., 53:10 (2013), 1428–1439 |
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К. Ю. Осипенко, “Об оптимальных методах восстановления в пространствах Харди–Соболева”, Матем. сб., 192:2 (2001), 67–86 ; K. Yu. Osipenko, “On optimal recovery methods in Hardy–Sobolev spaces”, Sb. Math., 192:2 (2001), 225–244 |
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N. C. Gabrielides, N. S. Sapidis, “$C^1$ sign, monotonicity and convexity preserving Hermite polynomial splines of variable degree”, Journal of Computational and Applied Mathematics, 343 (2018), 662–707 |
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H. Akima, “A method of univariate interpolation that has the accuracy of a third-degree polynomial”, ACM Transactions on Mathematical Software, 17:3 (1991), 341–366 |
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H. Akima, A method of smooth curve fitting, ESSA Tech. Rep. ERL 101-ITS 73, U.S. Government Printing Office, Washington, D.C., 1969 |
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M. Steffen, “A simple method for monotonic interpolation in one dimension”, Astron. Astrophys., 239 (1990), 443–450 |
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O. Niemitalo, Polynomial interpolators for high-quality resampling of oversampled audio, http://yehar.com/blog/?cat=ifuiamauc&paged=34, 2001 |
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T. R. Ellis, D. H. McLain, “Algorithm 514: A new method of cubic curve fitting using local data [E2]”, ACM Transactions on Mathematical Software, 3:2 (1977), 175–179 |
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A. D. Maude, “Interpolation—mainly for graph plotters”, The Computer J., 16:1 (1973), 64–65 |
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J. M. Hyman, “Accurate monotonicity preserving cubic interpolation”, SIAM J. Sci. and Stat. Comput., 4:4 (1983), 645–654 |
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H. T. Huynh, “Accurate monotone cubic interpolation”, SIAM J. Numer Anal., 30:1 (1993), 57–100 |
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R. Schaback, “Adaptive rational splines”, Constr. Approx., 6:2 (1990), 167–179 |
