Addition to the Popoviciu Theorem
Matematičeskie zametki, Tome 94 (2013) no. 3, pp. 416-425
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@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/