Geodesic
Approximation of periodic functions by Fej\'er suns
Izvestiya. Mathematics , Tome 5 (1971) no. 1, pp. 86-96.

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

In this work we give an expression for the principal term of deviation of periodic functions belonging to the space $L_p$, $1\leqslant p\leqslant\infty$, from their Fejér sums. 
@article{IM2_1971_5_1_a6,
     author = {G. K. Lebed' and A. A. Avdeenko},
     title = {Approximation of periodic functions by {Fej\'er} suns},
     journal = {Izvestiya. Mathematics },
     pages = {86--96},
     publisher = {mathdoc},
     volume = {5},
     number = {1},
     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a6/}
}
TY  - JOUR
AU  - G. K. Lebed'
AU  - A. A. Avdeenko
TI  - Approximation of periodic functions by Fej\'er suns
JO  - Izvestiya. Mathematics 
PY  - 1971
SP  - 86
EP  - 96
VL  - 5
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a6/
LA  - en
ID  - IM2_1971_5_1_a6
ER  - 
%0 Journal Article
%A G. K. Lebed'
%A A. A. Avdeenko
%T Approximation of periodic functions by Fej\'er suns
%J Izvestiya. Mathematics 
%D 1971
%P 86-96
%V 5
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a6/
%G en
%F IM2_1971_5_1_a6
G. K. Lebed'; A. A. Avdeenko. Approximation of periodic functions by Fej\'er suns. Izvestiya. Mathematics , Tome 5 (1971) no. 1, pp. 86-96. http://geodesic.mathdoc.fr/item/IM2_1971_5_1_a6/

[1] Zamansky M., “Classes de saturation de certains procedes d'approximation des series de Fourier des founctions continues et applications a quelques problemes l'approximation”, Ann. Sci. Ecole norm. sup., 66 (1949), 19–93 | MR | Zbl

[2] Efimov A. V., “O priblizhenii nekotorykh klassov nepreryvnykh funktsii summami Fure i summami Feiera”, Izv. AN SSSR. Ser. matem., 22 (1958), 81–116 | MR | Zbl

[3] Efimov A. V., “Priblizhenie nepreryvnykh periodicheskikh funktsii summami Fure”, Izv. AN SSSR. Ser. matem., 24 (1960), 243–296 | MR | Zbl

[4] Timan A. F., Teoriya priblizheniya funktsii deistvitelnogo peremennogo, Fizmatgiz, M., 1960

[5] Stechkin S. B., “O poryadke nailuchshikh priblizhenii nepreryvnykh funktsii”, Izv. AN SSSR. Ser. matem., 15 (1951), 219–242 | Zbl

[6] La Velée Poussin Ch., Legons sur l'approximation des fonctions d'une variable réele, Paris, 1919