On strong approximation of functions by positive operators
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 68-80
V. V. Zhuk. On strong approximation of functions by positive operators. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 30, Tome 440 (2015), pp. 68-80. http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a5/
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     author = {V. V. Zhuk},
     title = {On strong approximation of functions by positive operators},
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     url = {http://geodesic.mathdoc.fr/item/ZNSL_2015_440_a5/}
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

We consider questions of strong approximation of continuous functions by positive operators. The estimations are established in the terms of modulus of continuity and its convex majorant.

[1] V. Zhuk, G. Natanson, “K voprosu priblizheniya funktsii posredstvom polozhitelnykh operatorov”, Trudy po matematike i mekhanike, XIX, Uchenye zapiski Tartuskogo gos. un-ta, 430, Tartu, 1977, 58–69

[2] V. I. Zubov, “Interpolyatsionnye mnogochleny Bernshteina”, Dokl. RAN, 343:5 (1995), 593–595 | MR | Zbl

[3] V. V. Zhuk, Strukturnye svoistva funktsii i tochnost approksimatsii, L., 1984

[4] I. K. Daugavet, Vvedenie v klassicheskuyu teoriyu priblizheniya funktsii, S.-P., 2011