Geodesic
Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions
Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 229-247

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

The value of the deviation of a function $f(x)$ from its de la Vallée-Poussin means $V_m^n(f,x)$ with respect to the trigonometric system for classes of piecewise smooth $2\pi$-periodic functions is estimated.
Keywords: de la Vallée-Poussin means, trigonometric system, piecewise smooth function, approximation theory, approximation properties. 
@article{MZM_2016_100_2_a3,
     author = {M. G. Magomed-Kasumov},
     title = {Approximation {Properties} of de la {Vall\'ee-Poussin} {Means} for {Piecewise} {Smooth} {Functions}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {229--247},
     publisher = {mathdoc},
     volume = {100},
     number = {2},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/}
}
TY  - JOUR
AU  - M. G. Magomed-Kasumov
TI  - Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions
JO  - Matematičeskie zametki
PY  - 2016
SP  - 229
EP  - 247
VL  - 100
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/
LA  - ru
ID  - MZM_2016_100_2_a3
ER  - 
%0 Journal Article
%A M. G. Magomed-Kasumov
%T Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions
%J Matematičeskie zametki
%D 2016
%P 229-247
%V 100
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/
%G ru
%F MZM_2016_100_2_a3
M. G. Magomed-Kasumov. Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 229-247. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/