Geodesic
On approximating periodic functions by singular integrals with positive kernels
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 51-72 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

In the two-dimensional case, new approximation characteristics for functions belonging to saturation classes of continuity modules for the spaces $L-p$ of periodic functions are obtained. The problem of approximating a function by an analog of Fejér's integral in the space of periodic functions square integrable on the period is considered. Bibliography: 5 titles. 
@article{ZNSL_2006_337_a4,
     author = {N. Yu. Dodonov and V. V. Zhuk},
     title = {On approximating periodic functions by singular integrals with positive kernels},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {51--72},
     year = {2006},
     volume = {337},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a4/}
}
TY  - JOUR
AU  - N. Yu. Dodonov
AU  - V. V. Zhuk
TI  - On approximating periodic functions by singular integrals with positive kernels
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2006
SP  - 51
EP  - 72
VL  - 337
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a4/
LA  - ru
ID  - ZNSL_2006_337_a4
ER  - 
%0 Journal Article
%A N. Yu. Dodonov
%A V. V. Zhuk
%T On approximating periodic functions by singular integrals with positive kernels
%J Zapiski Nauchnykh Seminarov POMI
%D 2006
%P 51-72
%V 337
%U http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a4/
%G ru
%F ZNSL_2006_337_a4
N. Yu. Dodonov; V. V. Zhuk. On approximating periodic functions by singular integrals with positive kernels. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 21, Tome 337 (2006), pp. 51-72. http://geodesic.mathdoc.fr/item/ZNSL_2006_337_a4/

[1] A. S. Zhuk, V. V. Zhuk, “O priblizhenii periodicheskikh funktsii lineinymi metodami approksimatsii”, Zap. nauchn. semin. POMI, 337, 134–164 | Zbl

[2] V. V. Zhuk, Approksimatsiya periodicheskikh funktsii, L., 1982 | MR

[3] V. V. Zhuk, Silnaya approksimatsiya periodicheskikh funktsii, L., 1989 | MR

[4] G. Beitmen, A. Erdeii, Tablitsy integralnykh preobrazovanii, T. 1, M., 1969

[5] A. Zigmund, Trigonometricheskie ryady, T. 1, M., 1965