Addition to the Popoviciu Theorem
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 416-425

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An asymptotic estimate of approximations of a function by Bernstein polynomials taking into account the position of the point on the closed interval is obtained.
Keywords: bounded function, Popoviciu theorem, Bernstein polynomial, continuous function, modulus of continuity.
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     author = {V. O. Tonkov},
     title = {Addition to the {Popoviciu} {Theorem}},
     journal = {Matemati\v{c}eskie zametki},
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     volume = {94},
     number = {3},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_3_a8/}
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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/