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@article{MZM_2013_94_3_a8, author = {V. O. Tonkov}, title = {Addition to the {Popoviciu} {Theorem}}, journal = {Matemati\v{c}eskie zametki}, pages = {416--425}, publisher = {mathdoc}, volume = {94}, number = {3}, year = {2013}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a8/} }
V. O. Tonkov. Addition to the Popoviciu Theorem. Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 416-425. http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a8/
[1] T. Popoviciu, “Sur l'approximation des fonctions convexes d'ordre supérieur”, Mathematica Cluj, 10 (1935), 49–54 | Zbl
[2] I. P. Natanson, Konstruktivnaya teoriya funktsii, GITTL, M.–L., 1949 | MR | Zbl
[3] G. G. Lorentz, Bernstein Polynomials, Chelsea Publ., New York, 1986 | MR | Zbl
[4] P. C. Sikkema, “Der Wert einiger Konstanten in der Theorie der Approximation mit Bernstein-Polynomen”, Numer. Math., 3 (1961), 107–116 | DOI | MR | Zbl
[5] P. C. Sikkema, “Über den Grad der Approximation mit Bernstein-Polynomen”, Numer. Math., 1 (1959), 221–239 | DOI | MR | Zbl
[6] C. G. Esseen, “Über die asymptotisch beste Approximation stetiger Funktionen mit Hilfe von Bernstein-Polynomen”, Numer. Math., 2 (1960), 206–213 | DOI | MR | Zbl
[7] V. K. Dzyadyk, Vvedenie v teoriyu ravnomernogo priblizheniya funktsii polinomami, Nauka, M., 1977 | MR | Zbl
[8] M. Weba, “An optimal bound for the Bernstein approximation of multivariate Lipschitz-continuous functions”, East J. Approx., 12:4 (2006), 397–405 | MR
[9] S. A. Telyakovskii, “O skorosti priblizheniya funktsii mnogochlenami Bernshteina”, Tr. IMM UrO RAN, 14, no. 3, 2008, 162–169