@article{VMUMM_2024_4_a1,
author = {T. Yu. Semenova},
title = {An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its {Fourier} series},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {13--20},
year = {2024},
number = {4},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a1/}
}
TY - JOUR AU - T. Yu. Semenova TI - An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2024 SP - 13 EP - 20 IS - 4 UR - http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a1/ LA - ru ID - VMUMM_2024_4_a1 ER -
%0 Journal Article %A T. Yu. Semenova %T An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2024 %P 13-20 %N 4 %U http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a1/ %G ru %F VMUMM_2024_4_a1
T. Yu. Semenova. An algorithm for finding the exact value of the argument for the modulus of continuity in estimate of approximation of a continuous periodic function by a partial sum of its Fourier series. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 4 (2024), pp. 13-20. http://geodesic.mathdoc.fr/item/VMUMM_2024_4_a1/
[1] Kish O., “Otsenka otkloneniya chastnykh summ ryada Fure”, Acta math. Acad. ssi. hung., 22:1–2 (1971), 173–176 | Zbl
[2] Gavrilyuk V.T., “Priblizhenie nepreryvnykh periodicheskikh funktsii polinomami Rogozinskogo i summami Fure”, Voprosy teorii priblizheniya funktsii i ee prilozhenii, Kiev, 1976, 46–59
[3] Gavrilyuk V.T., “Priblizhenie nepreryvnykh periodicheskikh funktsii trigonometricheskimi polinomami”, Teoriya priblizheniya funktsii, M., 1977, 101–103 | MR | Zbl
[4] Miloradović S., Aproksimacije funckcija Fourier-ovim sumama i gorns granica Fourierovih koeficijenta, Magistarski rad, Beograd, 1977
[5] Daugavet I.K., “Ob odnom svoistve vpolne nepreryvnykh operatorov v prostranstve $C$”, Uspekhi matem. nauk, 18:5 (1963), 157–158 | MR | Zbl
[6] Stechkin S.B., “O priblizhenii nepreryvnykh periodicheskikh funktsii summami Favara”, Tr. Matem. in-ta AN SSSR, 109, 1971, 26–34 | Zbl
[7] Gavrilyuk V.T., Stechkin S.B., “Priblizhenie nepreryvnykh periodicheskikh funktsii summami Fure”, Tr. Matem. in-ta AN SSSR, 172, 1985, 107–127 | MR | Zbl
[8] Popov A.Yu., Semenova T.Yu., “Utochnenie otsenki skorosti ravnomernoi skhodimosti ryada Fure nepreryvnoi periodicheskoi funktsii ogranichennoi variatsii”, Matem. zametki, 113:4 (2023), 544–559 | DOI | Zbl
[9] Bari N.K., Trigonometricheskie ryady, Fizmatgiz, M., 1961