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JOURNALS // Matematicheskie Zametki

Mat. Zametki, 1990, Volume 47, Issue 3, Pages 32–41 (Mi mzm3192)

Approximation of classes of periodic functions of several variables by nuclear operators
È. M. Galeev

This publication is cited in the following articles:
  1. K. V. Pozharska, A. S. Romanyuk, “Estimates for approximation characteristics of Nikol'skii–Besov classes of functions with mixed smoothness in the space Bq,1${B_{q,1}}$”, Mathematische Nachrichten, 2025  crossref
  2. Romanyuk A.S. Yanchenko S.Ya., “Estimates of Approximating Characteristics and the Properties of the Operators of Best Approximation For the Classes of Periodic Functions in the Space B-1,B-1”, Ukr. Math. J., 73:8 (2022), 1278–1298  crossref  isi
  3. K. A. Bekmaganbetov, K. E. Kervenev, Y. Toleugazy, “Estimate for the Order of Orthoprojection Width of the Nikol'skii–Besov Class in the Metric of Anisotropic Lorentz Spaces”, J Math Sci, 264:5 (2022), 552  crossref
  4. Svitlana Hembars'ka, Oksana Fedunyk-Yaremchuk, “Approximation characteristics of the Nikol'sky-Besov-type classes of periodic single- and multivariable functions in the B_{1,1} space”, UMB, 18:3 (2021), 389  crossref
  5. Yanchenko S.Ya., Radchenko O.Ya., “Approximating Characteristics of the Nikol'Skii-Besov Classes (S1,Theta B)-B-R(R-D)”, Ukr. Math. J., 71:10 (2020), 1608–1626  crossref  isi
  6. Anatolii Romanyuk, Viktor Romanyuk, “Approximative characteristics and properties of operators of the best approximation of classes of functions from the Sobolev and Nikol'skii-Besov spaces”, UMB, 17:3 (2020), 372  crossref
  7. K. A. Bekmaganbetov, Ye. Toleugazy, “Order of the orthoprojection widths of the anisotropic Nikol'skii–Besov classes in the anisotropic Lorentz space”, Eurasian Math. J., 7:3 (2016), 8–16  mathnet  mathscinet
  8. Dauren B. Bazarkhanov, AIP Conference Proceedings, 1759, 2016, 020110  crossref
  9. Van Kien Nguyen Sickel W., “Weyl Numbers of Embeddings of Tensor Product Besov Spaces”, J. Approx. Theory, 200 (2015), 170–220  crossref  isi
  10. A. F. Konograj, “Estimates of the Approximation Characteristics of the Classes $B^{\Omega}_{p,\theta}$ of Periodic Functions of Several Variables with Given Majorant of Mixed Moduli of Continuity”, Math. Notes, 95:5 (2014), 656–669  mathnet  crossref  crossref  mathscinet  isi  elib
  11. Bazarkhanov D.B., “Wavelet Approximation and Fourier Widths of Classes of Periodic Functions of Several Variables. II”, Anal. Math., 38:4 (2012), 249–289  crossref  isi
  12. Pomahiok A.C., “Diameters and Best Approximation of the Classes B-P(R) of Periodic Functions of Several Variables”, Anal. Math., 37:3 (2011), 181–213  crossref  isi
  13. D. B. Bazarkhanov, “Estimates of the Fourier Widths of Classes of Nikolskii–Besov and Lizorkin–Triebel Types of Periodic Functions of Several Variables”, Math. Notes, 87:2 (2010), 281–284  mathnet  crossref  crossref  mathscinet  zmath  isi
  14. D. B. Bazarkhanov, “Wavelet approximation and Fourier widths of classes of periodic functions of several variables. I”, Proc. Steklov Inst. Math., 269 (2010), 2–24  mathnet  crossref  mathscinet  zmath  isi  elib  elib
  15. A. S. Romanyuk, “Best approximations and widths of classes of periodic functions of several variables”, Sb. Math., 199:2 (2008), 253–275  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  16. A. S. Romanyuk, “Approximation of Classes of Periodic Functions in Several Variables”, Math. Notes, 71:1 (2002), 98–109  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  17. N. N. Pustovoitov, “Approximation of multidimensional functions with a given majorant of mixed moduli of continuity”, Math. Notes, 65:1 (1999), 89–98  mathnet  crossref  crossref  mathscinet  zmath  isi


© Steklov Math. Inst. of RAS, 2025