Statistical approximation properties of q-Bleimann, Butzer and Hahn operators

Ersan S., DOĞRU O.

MATHEMATICAL AND COMPUTER MODELLING, cilt.49, ss.1595-1606, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.mcm.2008.10.008
  • Dergi Adı: MATHEMATICAL AND COMPUTER MODELLING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1595-1606
  • Gazi Üniversitesi Adresli: Evet

Özet

The main aim of this study is to introduce a new generalization of q-Bleimann, Butzer and Hahn operators and obtain statistical approximation properties of these operators with the help of the Korovkin type statistical approximation theorem. Rates of statistical convergence by means of the modulus of continuity and the Lipschitz type maximal function are also established. Our results show that rates of convergence of our operators are at least as fast as classical BBH operators. The second aim of this study is to construct a bivariate generalization of the operator and also obtain the statistical approximation properties. (C) 2008 Elsevier Ltd. All rights reserved.