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@article{SEMR_2008_5_a6, author = {G. A. Akishev}, title = {On degree of approximation of classes in {Lorentz} space}, journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a}, pages = {51--67}, publisher = {mathdoc}, volume = {5}, year = {2008}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a6/} }
G. A. Akishev. On degree of approximation of classes in Lorentz space. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 51-67. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a6/
[1] A. P. Blozinski, “Multivariate rearragements and Banach function spaces with mixed norms”, Transactions American Mathematical Society, 263 (1981), 146–167 | MR
[2] K. I. Babenko, “O priblizhenii odnogo klassa periodicheskikh funktsii mnogikh peremennykh trigonometricheskie mnogochlenami”, Doklady Akademii Nauk SSSR, 132 (1960), 982–985 | MR | Zbl
[3] S. A. Telyakovskii, “Nekotorye otsenki dlya trigonometricheskikh ryadov s kvazivypuklymi koeffitsientami”, Matematicheskii sbornik, 63 (1964), 426–444
[4] B. S. Mityagin, “Priblizhenie funktsii v prostranstvakh $L^p$ i $C$ na tore”, Matematicheskii sbornik, 58 (1962), 397–414 | Zbl
[5] Ya. S. Bugrov, “Priblizhenie klassov funktsii s dominiruyuschei smeshannoi proizvodnoi”, Matematicheskii sbornik, 64 (1964), 410–418 | MR | Zbl
[6] N. S. Nikolskaya, “Priblizhenie differentsiruemykh funktsii mnogikh peremennykh summami Fure v metrike $L_p$”, Sibirskii Matematicheskii Zhurnal, 63 (1974), 395–412
[7] E. M. Galeev, “Priblizhenie nekotorykh klassov periodicheskikh funktsii mnogikh peremennykh summami Fure v metrike $L_p$”, Uspekhi matematicheskikh nauk, 32 (1977), 251–252 | MR | Zbl
[8] V. N. Temlyakov, “Priblizhenie funktsii s ogranichennoi smeshannoi proizvodnoi”, Trudy Matematicheskogo instituta im. V. A. Steklova, 178, 1986, 3–112 | MR
[9] Din Zung, “Priblizhenie funktsii mnogikh peremennykh na tore trigonometricheskimi polinomami”, Matematicheskii sbornik, 131 (1986), 251–271 | MR | Zbl
[10] N. N. Pustovoitov, “Predstavlenie i priblizhenie periodicheskikh funktsii mnogikh peremennykh s zadannym smeshannym modulem nepreryvnosti”, Analysis Mathematica, 20 (1994), 35–48 | DOI | MR
[11] E. S. Belinskii, “Priblizhenie periodicheskikh funktsii “plavayuschei” sistemoi eksponent i trigonometricheskie poperechniki”, Issledovaniya po teorii funktsii mnogikh veschestvennykh peremennykh, Yaroslavl, 1984, 10–24 | MR
[12] B. S. Kashin, V. N. Temlyakov, “Ob odnoi norme i approksimatsionnykh kharakteristikakh klassov funktsii mnogikh peremennykh”, Metricheskaya teoriya funktsii i smezhnye voprosy analiza, Izd-vo AFTs, M., 1999, 69–99 | MR
[13] A. S. Romanyuk, “Priblizhenie klassov Besova periodicheskikh funktsii mnogikh peremennykh v prostranstve $L_q$”, Ukrainskii Matematicheskii Zhurnal, 43 (1991), 1398–1408 | MR | Zbl
[14] A. S. Romanyuk, “Ob otsenkakh approksimativnykh kharakteristik klassov Besova periodicheskikh funktsii mnogikh peremennykh”, Ukrainskii Matematicheskii Zhurnal, 49 (1997), 1250–1268 | MR
[15] B. Bazarkhanov, “Priblizhenie klassov funktsii s dominiruyuschei smeshannoi proizvodnoi trigonometricheskimi polinomami”, Sovremennye problemy teorii funktsii, Materialy Vsesoyuznoi shkoly po teorii funktsii, Baku, 1977, 70–75
[16] V. M. Tikhomirov, “Teoriya priblizhenii”, Sovremennye problemy matematiki, M., 1987, 103–270 | MR
[17] N. Temirgaliev, “Teoretiko-chislovye metody i teoretiko-veroyatnostnyi podkhod k zadacham analiza. Teoriya vlozhenii i priblizhenii, absolyutnaya skhodimost i preobrazovaniya ryadov Fure”, Vestnik Evraziiskogo universiteta, 2002, no. 3-4, 222–272
[18] N. Temirgaliev, “O vlozhenii v nekotorye prostranstva Lorentsa”, Izvestiya Vysshikh Uchebnykh Zavedenii, Matematika, 1980, no. 6, 83–85 | MR | Zbl
[19] G. Akishev, “Otsenka poryadka priblizheniya klassov Besova trigonometricheskimi polinomami”, Vestnik Karagandinskogo Universiteta, Seriya Matematika, 2004, no. 3, 9–16 | MR
[20] G. Akishev, “Priblizhenie funktsionalnykh klassov v prostranstvakh smeshannoi normoi”, Matematicheskii sbornik, 197 (2006), 17–40 | MR | Zbl
[21] M. K. Potapov, “Ob odnoi teoreme vlozheniya”, Mathematica, 14 (1972), 123–146 | MR
[22] Ya. S. Bugrov, “Priblizhenie trigonometricheskimi polinomami funktsii mnogikh peremennykh”, Trudy Nauchnogo Ob'edineniya Prepodavatelei Fiziko-matematicheskikh Fakultetov Pedagogicheskikh Institutov Dalnego Vostoka, Khabarovsk, 1962, 28–49
[23] Johonsson H., Embedding of $H_p^\omega$ in some Lorentz spases, Reslerch Report Universite Umea, No 6, 1975, 36 pp.
[24] E. D. Nursultanov, “Neravenstva raznykh metrik S. M. Nikolskogo i svoistva posledovatelnosti norm summ Fure funktsii iz prostranstva Lorentsa”, Trudy Matematicheskogo Instituta im. V. A. Steklova, 255, 2006, 1–18
[25] G. Akishev, “Neravenstva raznykh metrik dlya trigonometricheskikh polinomov”, Materialy Nauchno-prakticheskoi Konferentsii “Ualikhanovskie chteniya-9” (Kokshetau, 2004), 3–6
[26] S. F. Timan, “O vlozhenii $L_p^k$ klassov funktsii”, Izvestiya Vysshikh Uchebnykh Zavedenii, Matematika, 1974, no. 10, 61–74 | MR | Zbl
[27] M. K. Potapov, “Teoremy vlozheniya smeshannoi metrike”, Trudy Matematicheskogo Instituta im. V. A. Steklova, 156, 1980, 143–156 | MR | Zbl
[28] O. V. Besov, V. P. Ilin, S. M. Nikolskii, Integralnye predstavleniya funktsii i teoremy vlozheniya, Nauka, M., 1975 | MR | Zbl
[29] S. M. Nikolskii, Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR