Geodesic
On an Extremal Problem concerning Bernstein Operators
Serdica Mathematical Journal, Tome 21 (1995) no. 2, pp. 137-150.

Voir la notice de l'article provenant de la source Bulgarian Digital Mathematics Library

The best constant problem for Bernstein operators with respect to the second modulus of smoothness is considered. We show that for any 1/2 ≤ a 1, there is an N(a) ∈ N such that for n ≥ N(a), 1−a≤k, n≤a, sup | Bn (f, k/n) − f(k/n) | ≤ cω2(f, 1/√n), where c is a constant,0 c 1.
Keywords: Bernstein Operators, Best Constant, Second Modulus of Smoothness, K-Functional 
@article{SMJ2_1995_21_2_a3,
     author = {Gonska, Heinz and Zhou, Ding-Xuan},
     title = {On an {Extremal} {Problem} concerning {Bernstein} {Operators}},
     journal = {Serdica Mathematical Journal},
     pages = {137--150},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {1995},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_1995_21_2_a3/}
}
TY  - JOUR
AU  - Gonska, Heinz
AU  - Zhou, Ding-Xuan
TI  - On an Extremal Problem concerning Bernstein Operators
JO  - Serdica Mathematical Journal
PY  - 1995
SP  - 137
EP  - 150
VL  - 21
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SMJ2_1995_21_2_a3/
LA  - en
ID  - SMJ2_1995_21_2_a3
ER  - 
%0 Journal Article
%A Gonska, Heinz
%A Zhou, Ding-Xuan
%T On an Extremal Problem concerning Bernstein Operators
%J Serdica Mathematical Journal
%D 1995
%P 137-150
%V 21
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SMJ2_1995_21_2_a3/
%G en
%F SMJ2_1995_21_2_a3
Gonska, Heinz; Zhou, Ding-Xuan. On an Extremal Problem concerning Bernstein Operators. Serdica Mathematical Journal, Tome 21 (1995) no. 2, pp. 137-150. http://geodesic.mathdoc.fr/item/SMJ2_1995_21_2_a3/