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International conference on Function Spaces and Approximation Theory dedicated to the 110th anniversary of S. M. Nikol'skii
May 28, 2015 17:05–17:30, Приближения функций и гармонический анализ. I, Moscow, Steklov Mathematical Institute of RAS
 


О восстановлении функций из классов Ульянова «методом Смоляка»

N. Zh. Nauryzbaev, A. A. Shomanova, N. Temirgaliev

Gumilyov Eurasian National University, Institute of Theoretical Mathematics and Scientific Computations
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Supplementary materials: abstract.pdf (197.9 Kb)

References
  1. N. Nauryzbayev, N. Temirgaliyev, “An Exact Order of Discrepancy of the Smolyak Grid and Some General Conclusions in the Theory of Numerical Integration”, Found Comput Math., 2012, no. 12, 139–172  crossref  mathscinet  zmath  scopus
  2. N. Temirgaliev, “Klassy $U_s(\beta,\theta,\alpha;\psi)$ i kvadraturnye formuly”, Dokl. RAN, 393:5 (2003), 605–608  mathnet  mathscinet
  3. S. A. Smolyak, “Kvadraturnye i interpolyatsionnye formuly na tenzornykh proizvedeniyakh nekotorykh klassov funktsii”, Dokl. AN SSSR, 148:5 (2003), 1042–1045
  4. V. N. Temlyakov, “Priblizhennoe vosstanovlenie periodicheskikh funktsii neskolkikh peremennykh”, Matem. sb., 128(170):2(10) (1985), 256–268  mathnet  mathscinet  zmath
  5. N. Temirgaliev, “Tenzornye proizvedeniya funktsionalov i ikh primeneniya”, Dokl. RAN, 430:4 (2010), 460–465  mathscinet  zmath
  6. N. Temirgaliev, N. Zh. Nauryzbaev, A. A. Shomanova, “Approksimativnye vozmozhnosti vychislitelnykh agregatov “Tipa Smolyaka” s yadrami Dirikhle, Feiera i Valle-Pussena v shkale klassov Ulyanova”, Izvestiya vuzov. Matematika, 2015, no. 7, 75–81  mathnet
 
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