On statistical approximation properties of the Kantorovich type Lupaş operators

DOĞRU O., Kanat K.

Mathematical and Computer Modelling, cilt.55, sa.3-4, ss.1610-1621, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 3-4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.mcm.2011.10.059
  • Dergi Adı: Mathematical and Computer Modelling
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1610-1621
  • Anahtar Kelimeler: Bernstein operators, Modulus of continuity, Q-Bernstein operators, The Korovkin type approximation theorem
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In this study, a Kantorovich type generalization of Lupaş operators is introduced. Then the Korovkin type statistical approximation properties of these operators are investigated. Finally, the rates of statistical convergence of this modification are also studied. © 2011 Elsevier Ltd.