Voir la notice de l'article provenant de la source Math-Net.Ru
[1] Babenko K.I., “O nailuchshikh priblizheniyakh odnogo klassa analiticheskikh funktsii”, Izv. AN SSSR, 22:5 (1958), 631–640 | Zbl
[2] Tikhomirov V.M., “Poperechniki mnozhestv v funktsionalnykh prostranstvakh i teoriya nailuchshikh priblizhenii”, Uspekhi matem. nauki, 15:3 (1960), 81–120 | MR | Zbl
[3] Taikov L.V., “O nailuchshem priblizhenii v srednem nekotorykh klassov funktsii”, Matem. zametki, 1:2 (1967), 155–162 | MR | Zbl
[4] Dveirin M.Z., “Poperechniki i $\varepsilon$-entropiya klassov funktsii, analiticheskikh v edinichnom kruge”, Teoriya funktsii, funkts. analiz i pril., 23 (1975), 32–46 | MR
[5] Ainulloev N., Taikov L.V., “Nailuchshee priblizhenie v smysle A. N. Kolmogorova klassov analiticheskikh v edinichnom kruge funktsii”, Matem. zametki, 40:3 (1986), 341–351 | MR
[6] Vakarchuk S.B., “O poperechnikakh nekotorykh klassov analiticheskikh funktsii v prostranstve Khardi $H_2$”, Ukr. matem. zhurn., 41:26 (1989), 799–802
[7] Farkov Yu.A., “Poperechniki klassov Khardi i Bergmana v share iz $\mathbb{C}^n$”, Uspekhi matem. nauk, 45:5 (1990), 197–198 | MR | Zbl
[8] Fisher S.D., Stessin M.I., “The $n$-width of the unit ball of $H^{q}$”, J. Approx. Theory, 67:3 (1991), 347–356 | DOI | MR | Zbl
[9] Shabozov M.Sh., Yusupov G.A., “Nailuchshee priblizhenie i znacheniya poperechnikov nekotorykh klassov analiticheskikh funktsii”, Dokl. RAN, 382:6 (2002), 747–749 | MR | Zbl
[10] Shabozov M.Sh., Yusupov G.A., Zargarov Dzh.Dzh., “O nailuchshei sovmestnoi polinomialnoi approksimatsii funktsii i ikh proizvodnykh v prostranstve Khardi”, Tr. IMM UrO RAN, 27, no. 4, 2021, 239–254
[11] Shabozov M.Sh., “Poperechniki nekotorykh klassov analiticheskikh funktsii v prostranstve Bergmana”, Dokl. RAN, 383:2 (2002), 171–174 | MR
[12] Shabozov M.Sh., Khuromonov Kh.M., “O nailuchshem priblizhenii v srednem funktsii kompleksnogo peremennogo ryadami Fure v prostranstve Bergmana”, Izv. vuzov. Matematika, 2020, no. 2, 74–92 | Zbl
[13] Shabozov M.Sh., Shabozov O.Sh., “O nailuchshem priblizhenii nekotorykh klassov analiticheskikh funktsii v vesovykh prostranstvakh Bergmana $B_{2,\gamma}$”, Dokl. AN RT, 412:4 (2007), 466–469 | Zbl
[14] Shabozov M.Sh., Kadamshoev N.U., “Tochnye neravenstva mezhdu nailuchshimi srednekvadraticheskimi priblizheniyami analiticheskikh v kruge funktsii i nekotorymi kharakteristikami gladkosti v prostranstve Bergmana”, Matem. zametki, 110:2 (2021), 266–281 | DOI | MR | Zbl
[15] Smirnov V.I., Lebedev N.A., Konstruktivnaya teoriya funktsii kompleksnogo peremennogo, Nauka, M.–L., 1964 | MR
[16] Abilov V.A., Abilova F.V., Kerimov M.K., “Tochnye otsenki skorosti skhodimosti ryadov Fure funktsii kompleksnoi peremennoi v prostranstve $L_2\bigl(D,p(z)\bigr)$”, Zhurn. vychisl. matem. i matem. fiz., 50:6 (2010), 999–1004 | MR | Zbl
[17] Shabozov M.Sh., Saidusainov M.S., “Verkhnie grani priblizheniya nekotorykh klassov funktsii kompleksnoi peremennoi ryadami Fure v prostranstve $L_2$ i znacheniya $n$-poperechnikov”, Matem. zametki, 103:4 (2018), 617–631 | DOI | Zbl
[18] Shabozov M.Sh. Saidusainov M.S., “Srednekvadratichnoe priblizhenie funktsii kompleksnogo peremennogo summami Fure po ortogonalnym sistemam”, Tr. IMM UrO RAN, 25, no. 2, 2019, 258–272
[19] Runovskii K.V., “O priblizhenii semeistvami lineinykh polinomialnykh operatorov v prostranstvakh $L_{p},~ 0
1$”, Matem. sb., 185:8 (1994), 81–102 | Zbl[20] Vakarchuk S.B., Zabutnaya V.I., “Neravenstva mezhdu nailuchshimi polinomialnymi priblizheniyami i nekotorymi kharakteristikami gladkosti v prostranstve $L_{2}$ i poperechniki klassov funktsii”, Matem. zametki, 99:2 (2016), 215–238 | DOI | Zbl
[21] Tikhomirov V.M., Nekotorye voprosy teorii priblizhenii, Izd-vo MGU, M., 1976
[22] Pinkus A., $n$-Widths in Approximation Theory, Springer-Verlag, Berlin–Heidelberg–New York–Tokyo, 1985 | MR | Zbl
[23] Korneichuk N.P., Tochnye konstanty v teorii priblizheniya, Nauka, M., 1987 | MR