Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2022_111_2_a14, author = {K. V. Runovskii and N. V. Laktionova}, title = {Inverse {Theorems} on the {Approximation} of {Periodic} {Functions} with {High} {Generalized} {Smoothness}}, journal = {Matemati\v{c}eskie zametki}, pages = {312--315}, publisher = {mathdoc}, volume = {111}, number = {2}, year = {2022}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a14/} }
TY - JOUR AU - K. V. Runovskii AU - N. V. Laktionova TI - Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness JO - Matematičeskie zametki PY - 2022 SP - 312 EP - 315 VL - 111 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a14/ LA - ru ID - MZM_2022_111_2_a14 ER -
%0 Journal Article %A K. V. Runovskii %A N. V. Laktionova %T Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness %J Matematičeskie zametki %D 2022 %P 312-315 %V 111 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a14/ %G ru %F MZM_2022_111_2_a14
K. V. Runovskii; N. V. Laktionova. Inverse Theorems on the Approximation of Periodic Functions with High Generalized Smoothness. Matematičeskie zametki, Tome 111 (2022) no. 2, pp. 312-315. http://geodesic.mathdoc.fr/item/MZM_2022_111_2_a14/
[1] A. I. Stepanets, Klassifikatsiya i priblizhenie periodicheskikh funktsii, Naukova dumka, Kiev, 1987 | MR | Zbl
[2] S. N. Bernshtein, “O nailuchshem' priblizhenii nepreryvnykh' funktsii posredstvom' mnogochlenov' dannoi stepeni. I”, Soobsch. Kharkov. matem. obsch. Vtoraya ser., 13:2-3 (1912), 49–144
[3] S. B. Stechkin, Izv. AN SSSR. Ser. matem., 15:3 (1951), 219–242 | MR | Zbl
[4] A. A. Konyushkov, Matem. sb., 44 (86):1 (1958), 53–84 | MR | Zbl
[5] R. Taberski, Aproksymacja funkcji wielomianami trygonometrycznymi, Wydawnyctwo Naukowe UAM, Poznan, 1979
[6] A. I. Stepanets, E. I. Zhukina, Ukr. matem. zhurn., 41:8 (1989), 1106–1112 | MR | Zbl
[7] A. I. Stepanets, Ukr. matem. zhurn., 47:9 (1995), 1266–1273 | MR | Zbl
[8] B. V. Simonov, S. Yu. Tikhonov, Matem. sb., 199:9 (200), 107–148 | DOI | MR | Zbl
[9] K. V. Runovskii, Matem. zametki, 106:3 (2019), 436–449 | DOI | MR | Zbl
[10] K. V. Runovskii, Matem. sb., 212:2 (2020), 106–137 | DOI | MR
[11] E. M. Stein, G. Weiss, Introduction to Fourier Analysis on Euclidean Spaces, Princeton Univ. Press, Princeton, NJ, 1971 | MR | Zbl