Geodesic
Fractal interpolation methods of Barnsley type
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2002), pp. 3-14.

Voir la notice de l'article provenant de la source Math-Net.Ru

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     url = {http://geodesic.mathdoc.fr/item/IVM_2002_9_a0/}
}
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S. N. Vasil'ev. Fractal interpolation methods of Barnsley type. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2002), pp. 3-14. http://geodesic.mathdoc.fr/item/IVM_2002_9_a0/

[1] Barnsley M. F., “Fractal functions and interpolation”, Constr. Approx., 1986, no. 2, 303–329 | DOI | MR | Zbl

[2] Barnsley M. F., Elton J. H., Hardin D. P., “Reccurent iterated function systems”, Constr. Approx., 5:1 (1989), 3–31 | DOI | MR | Zbl

[3] Hutchinson J. E., “Fractals and self similarity”, Indiana University Math. Journal, 30:5 (1981), 713–747 | DOI | MR | Zbl

[4] Asanov M. O., Diskretnaya optimizatsiya, Uchebnoe posobie, UralNAUKA, Ekaterinburg, 1998, 206 pp. | Zbl

[5] Passow E., “Piecewise monotone spline interpolation”, J. Approx. Theor., 12:3 (1974), 240–241 | DOI | MR | Zbl

[6] Kocić Lj. M., “Monotone interpolation by fractal functions”, Approxim. and Optimiz., Proc. Intern. Conf., V. 1 (ICAOR, Cluj-Napoca, 1996), Transilvania Press, Cluj-Napoca, 291–298 | MR | Zbl

[7] Vasilyev S. N., “Interpolation by fractal functions preserving monotonicity and convexity”, East Journal on Approximations, 3:4 (1997), 381–392 | MR | Zbl