Structural properties of periodic functions with absolutely converging Fourier series
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 1 (2006), pp. 25-33.

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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