Widths of Functional Classes Defined by the Majorants of Generalized Moduli of Smoothness in the Spaces Sp

ABDULLAYEV F., Serdyuk A., Shidlich A.

Ukrainian Mathematical Journal, cilt.73, sa.6, ss.841-858, 2021 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 73 Sayı: 6
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s11253-021-01963-6
  • Dergi Adı: Ukrainian Mathematical Journal
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.841-858
  • Uşak Üniversitesi Adresli: Hayır

Özet

We obtain exact Jackson-type inequalities in terms of the best approximations and averaged values of the generalized moduli of smoothness in the spaces Sp. For classes of periodic functions defined by certain conditions imposed on the average values of the generalized moduli of smoothness, we determine the exact values of the Kolmogorov, Bernstein, linear, and projective widths in the spaces Sp.