Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2016_100_2_a3, author = {M. G. Magomed-Kasumov}, title = {Approximation {Properties} of de la {Vall\'ee-Poussin} {Means} for {Piecewise} {Smooth} {Functions}}, journal = {Matemati\v{c}eskie zametki}, pages = {229--247}, publisher = {mathdoc}, volume = {100}, number = {2}, year = {2016}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/} }
TY - JOUR AU - M. G. Magomed-Kasumov TI - Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions JO - Matematičeskie zametki PY - 2016 SP - 229 EP - 247 VL - 100 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/ LA - ru ID - MZM_2016_100_2_a3 ER -
M. G. Magomed-Kasumov. Approximation Properties of de la Vall\'ee-Poussin Means for Piecewise Smooth Functions. Matematičeskie zametki, Tome 100 (2016) no. 2, pp. 229-247. http://geodesic.mathdoc.fr/item/MZM_2016_100_2_a3/
[1] S. M. Nikolskii, “O nekotorykh metodakh priblizheniya trigonometricheskimi summami”, Izv. AN SSSR. Ser. matem., 4:6 (1940), 509–520 | MR | Zbl
[2] S. A. Telyakovskii, “Priblizhenie differentsiruemykh funktsii summami Valle Pussena”, Dokl. AN SSSR, 121 (1958), 426–429 | Zbl
[3] A. V. Efimov, “O priblizhenii periodicheskikh funktsii summami Valle-Pussena”, Izv. AN SSSR. Ser. matem., 23:5 (1959), 737–770 | MR | Zbl
[4] A. V. Efimov, “O priblizhenii periodicheskikh funktsii summami Valle Pussena. II”, Izv. AN SSSR. Ser. matem., 24:3 (1960), 431–468 | MR | Zbl
[5] A. A. Zakharov, “Ob otsenke ukloneniya nepreryvnykh periodicheskikh funktsii ot summ Valle Pussena”, Matem. zametki, 3:1 (1968), 77–84 | MR | Zbl
[6] Ie. Yu. Ovsii, A. S. Serdyuk, Approximation of Continuous Periodic Functions by de la Vallee Poussin Sums, arXiv: 1211.5424
[7] S. P. Baiborodov, “Priblizhenie funktsii summami Valle Pussena”, Matem. zametki, 27:1 (1980), 33–48 | MR | Zbl
[8] I. I. Sharapudinov, “Approksimativnye svoistva srednikh Valle Pussena na klassakh tipa Soboleva s peremennym pokazatelem”, Vestn. Dagestansk. nauchn. tsentra RAN, 45 (2012), 5–13
[9] I. I. Sharapudinov, “Priblizhenie gladkikh funktsii v $L^{p(x)}_{2\pi}$ srednimi Valle–Pussena”, Izv. Sarat. un-ta. Nov. ser. Ser. Matematika. Mekhanika. Informatika, 13:1 (1) (2013), 45–49 | Zbl
[10] M. G. Magomed-Kasumov, “Approksimativnye svoistva klassicheskikh srednikh Valle-Pussena dlya kusochno gladkikh funktsii”, Vestn. Dagestansk. nauchn. tsentra RAN, 54 (2014), 5–12
[11] A. Zigmund, Trigonometricheskie ryady, Mir, M., 1965 | MR | Zbl | Zbl
[12] G. M. Fikhtengolts, Kurs differentsialnogo i integralnogo ischisleniya, T. 2, Fizmatlit, M., 2001