Geodesic
Structural properties of periodic functions with absolutely converging Fourier series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2006), pp. 25-33 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{IVM_2006_1_a3,
     author = {N. A. Il'yasov},
     title = {Structural properties of periodic functions with absolutely converging {Fourier} series},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {25--33},
     year = {2006},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2006_1_a3/}
}
TY  - JOUR
AU  - N. A. Il'yasov
TI  - Structural properties of periodic functions with absolutely converging Fourier series
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2006
SP  - 25
EP  - 33
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/IVM_2006_1_a3/
LA  - ru
ID  - IVM_2006_1_a3
ER  - 
%0 Journal Article
%A N. A. Il'yasov
%T Structural properties of periodic functions with absolutely converging Fourier series
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2006
%P 25-33
%N 1
%U http://geodesic.mathdoc.fr/item/IVM_2006_1_a3/
%G ru
%F IVM_2006_1_a3
N. A. Il'yasov. Structural properties of periodic functions with absolutely converging Fourier series. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2006), pp. 25-33. http://geodesic.mathdoc.fr/item/IVM_2006_1_a3/

[1] Bari N. K., Trigonometricheskie ryady, Fizmatgiz, M., 1961, 936 pp. | MR

[2] Lorentz G. G., “Fourier-Koeffizienten und Funktionenklassen”, Math. Zeitschrift, 51:2 (1948), 135–149 | DOI | MR | Zbl

[3] Stechkin S. B., “O poryadke nailuchshikh priblizhenii nepreryvnykh funktsii”, Izv. AN SSSR. Ser. matem., 15:3 (1951), 219–242 | Zbl

[4] Bari N. K., “O nailuchshem priblizhenii trigonometricheskimi polinomami dvukh sopryazhennykh funktsii”, Izv. AN SSSR. Ser. matem., 19:5 (1955), 285–302 | MR | Zbl

[5] Geit V. E., “Teoremy vlozheniya dlya nekotorykh klassov periodicheskikh nepreryvnykh funktsii”, Izv. vuzov. Matematika, 1972, no. 4, 67–77 | MR | Zbl

[6] Natanson I. P., Konstruktivnaya teoriya funktsii, GITTL, M.–L., 1949, 688 pp. | MR

[7] Zhuk V. V., “Ob odnom metode summirovaniya ryadov Fure. Ryady Fure s polozhitelnymi koeffitsientami”, Issledov. po nekot. probl. konstr. teorii funktsii, Sb. nauchn. trudov LMI, no. 50, Leningrad, 1965, 73–92

[8] Boas R. P., “Fourier series with positive coefficients”, J. Math. Anal. and Appl., 17:3 (1967), 463–483 | DOI | MR | Zbl

[9] Stechkin S. B., “Priblizhenie periodicheskikh funktsii summami Feiera”, Tr. Matem. in-ta AN SSSR, 62, 1961, 48–60