The generalized Lorentz theorem on Fourier series with monotone coefficients and its converse
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (1998), pp. 15-17
Cet article a éte moissonné depuis la source Math-Net.Ru
@article{IVM_1998_4_a1,
author = {V. \`E. Gheit},
title = {The generalized {Lorentz} theorem on {Fourier} series with monotone coefficients and its converse},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {15--17},
year = {1998},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_1998_4_a1/}
}
V. È. Gheit. The generalized Lorentz theorem on Fourier series with monotone coefficients and its converse. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 4 (1998), pp. 15-17. http://geodesic.mathdoc.fr/item/IVM_1998_4_a1/
[1] Bari N. K., Stechkin S. B., “Nailuchshie priblizheniya i differentsialnye svoistva dvukh sopryazhennykh funktsii”, Tr. Mosk. matem. o-va, 5, 1956, 483–522 | MR | Zbl
[2] Lorentz G. G., “Fourier Koeffizienten und Funktionenklassen”, Math. Z., 51 (1948), 135–149 | DOI | MR | Zbl
[3] Geit V. E., “Teoremy vlozheniya dlya nekotorykh klassov periodicheski nepreryvnykh funktsii”, Izv. vuzov. Matematika, 1972, no. 4, 67–77 | MR | Zbl
[4] Bari N. K., Trigonometricheskie ryady, Fizmatgiz, M., 1961, 936 pp. | MR