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

ABDULLAYEV F., Chaichenko S., Shidlich A.

Mathematical Inequalities and Applications, cilt.24, sa.2, ss.323-336, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 24 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.7153/mia-2021-24-23
  • Dergi Adı: Mathematical Inequalities and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.323-336
  • Anahtar Kelimeler: Best approximation, Direct approximation theorem, Generalized modulus of smoothness, Inverse approximation theorem, Musilak-Orlicz type spaces
  • Uşak Üniversitesi Adresli: Hayır

Özet

In Musilak-Orlicz type spaces SM, direct and inverse approximation theorems are obtained in terms of the best approximations of functions and generalized moduli of smoothness. The question of the exact constants in Jackson-type inequalities is studied.