Geodesic
On the asymptotic of the mean value points for some finite difference operators
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 829-838 
Yu. G. Nikonorov. On the asymptotic of the mean value points for some finite difference operators. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 829-838. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a13/
@article{FPM_2001_7_3_a13,
     author = {Yu. G. Nikonorov},
     title = {On the~asymptotic of the~mean value points for some finite difference operators},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {829--838},
     year = {2001},
     volume = {7},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a13/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The paper provides a proof of some asymptotic estimations of the mean value points for finite difference operators of $n$-times differentiation.