Geodesic
Approximation by linear methods of summation of orthogonal series
Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 345-356.

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

We give an estimate of the rapidity of convergence of certain linear means of the orthogonal series $\sum_{k=0}^\infty c_k\varphi_k(x)$ to the function $f(x)\in L_2(a,b)$ defined by this series according to the Riesz-Fisher theorem for almost all $x\in(a,b)$. The results obtained are, in a certain sense, final. 
@article{MZM_1968_3_3_a13,
     author = {\`E. A. Storozhenko},
     title = {Approximation by linear methods of summation of orthogonal series},
     journal = {Matemati\v{c}eskie zametki},
     pages = {345--356},
     publisher = {mathdoc},
     volume = {3},
     number = {3},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a13/}
}
TY  - JOUR
AU  - È. A. Storozhenko
TI  - Approximation by linear methods of summation of orthogonal series
JO  - Matematičeskie zametki
PY  - 1968
SP  - 345
EP  - 356
VL  - 3
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a13/
LA  - ru
ID  - MZM_1968_3_3_a13
ER  - 
%0 Journal Article
%A È. A. Storozhenko
%T Approximation by linear methods of summation of orthogonal series
%J Matematičeskie zametki
%D 1968
%P 345-356
%V 3
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a13/
%G ru
%F MZM_1968_3_3_a13
È. A. Storozhenko. Approximation by linear methods of summation of orthogonal series. Matematičeskie zametki, Tome 3 (1968) no. 3, pp. 345-356. http://geodesic.mathdoc.fr/item/MZM_1968_3_3_a13/