On statistical approximation properties of Kantorovich type q-Bernstein operators

Dalmanoglu O., Dogru O.

MATHEMATICAL AND COMPUTER MODELLING, cilt.52, ss.760-771, 2010 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52
  • Basım Tarihi: 2010
  • Doi Numarası: 10.1016/j.mcm.2010.05.005
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.760-771
  • Anahtar Kelimeler: Korovkin theorem, Statistical convergence, q-integers, Kantorovich type operators, Modulus of continuity, Lipschitz class, CONVERGENCE, INEQUALITIES, POLYNOMIALS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study a new Kantorovich type generalization of q-Bernstein operators is introduced with the help of some recent studies on q-calculus. Then the statistical Korovkin type approximation properties of these operators are investigated. Finally, the order of statistical approximation is examined by means of modulus of continuity and with the help of the elements of Lipschitz class. (C) 2010 Elsevier Ltd. All rights reserved.