Some approximation results for (p, q)-lupaş-schurer operators

Kanat K., Sofyalıoğlu M.

Filomat, cilt.32, sa.1, ss.217-229, 2018 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 1
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/fil1801217k
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.217-229
  • Anahtar Kelimeler: (P,Q)-integers, Functions of Lipschitz class, Korovkin type approximation theorem, Lupaş operators, Modulus of continuity, Peetre’s K-functionals
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In this paper, we introduce Lupaş-Schurer operators based on (p, q)-integers. Then, we deal with the approximation properties for (p, q)-Lupaş-Schurer operators based on Korovkin type approximation theorem. Moreover, we compute rate of convergence by using modulus of continuity, with the help of functions of Lipschitz class and Peetre’s K-functionals.