Direct and inverse approximation theorems of functions in the Orlicz type spaces SM

Chaichenko S., Shidlich A., ABDULLAYEV F.

Mathematica Slovaca, cilt.69, sa.6, ss.1367-1380, 2019 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 69 Sayı: 6
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/ms-2017-0314
  • Dergi Adı: Mathematica Slovaca
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1367-1380
  • Anahtar Kelimeler: best approximation, direct theorem, inverse theorem, modulus of smoothness
  • Uşak Üniversitesi Adresli: Hayır

Özet

In the Orlicz type spaces SM, we prove direct and inverse approximation theorems in terms of the best approximations of functions and moduli of smoothness of fractional order. We also show the equivalence between moduli of smoothness and Peetre K-functionals in the spaces SM.