Exact constants in direct and inverse approximation theorems for functions of several variables in the spaces sp

ABDULLAYEV F., Özkartepe P., Savchuk V. V., Shidlich A. L.

Filomat, cilt.33, sa.5, ss.1471-1484, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 5
  • Basım Tarihi: 2019
  • Doi Numarası: 10.2298/fil1905471a
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1471-1484
  • Anahtar Kelimeler: Direct theorem, Inverse theorem, K-functional, Modulus of smoothness
  • Uşak Üniversitesi Adresli: Hayır

Özet

In the paper, exact constants in direct and inverse approximation theorems for functions of several variables are found in the spaces Sp. The equivalence between moduli of smoothness and some K-functionals is also shown in the spaces Sp.