Geodesic
Best Polynomial Approximations and the Widths of Function Classes in~$L_{2}$
Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 908-917

Voir la notice de l'article provenant de la source Math-Net.Ru

Sharp Jackson–Stechkin type inequalities in which the modulus of continuity of $m$th order of functions is defined via the Steklov function are obtained. For the classes of functions defined by these moduli of continuity, exact values of various $n$-widths are derived.
Keywords: best polynomial approximation, Jackson–Stechkin type inequality, function classes in $L_{2}$. 
@article{MZM_2013_94_6_a9,
     author = {M. Sh. Shabozov and K. Tukhliev},
     title = {Best {Polynomial} {Approximations} and the {Widths} of {Function} {Classes} in~$L_{2}$},
     journal = {Matemati\v{c}eskie zametki},
     pages = {908--917},
     publisher = {mathdoc},
     volume = {94},
     number = {6},
     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a9/}
}
TY  - JOUR
AU  - M. Sh. Shabozov
AU  - K. Tukhliev
TI  - Best Polynomial Approximations and the Widths of Function Classes in~$L_{2}$
JO  - Matematičeskie zametki
PY  - 2013
SP  - 908
EP  - 917
VL  - 94
IS  - 6
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a9/
LA  - ru
ID  - MZM_2013_94_6_a9
ER  - 
%0 Journal Article
%A M. Sh. Shabozov
%A K. Tukhliev
%T Best Polynomial Approximations and the Widths of Function Classes in~$L_{2}$
%J Matematičeskie zametki
%D 2013
%P 908-917
%V 94
%N 6
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a9/
%G ru
%F MZM_2013_94_6_a9
M. Sh. Shabozov; K. Tukhliev. Best Polynomial Approximations and the Widths of Function Classes in~$L_{2}$. Matematičeskie zametki, Tome 94 (2013) no. 6, pp. 908-917. http://geodesic.mathdoc.fr/item/MZM_2013_94_6_a9/