Statistical approximation properties of King-type modification of Lupaş operators

DOĞRU O., Kanat K.

Computers and Mathematics with Applications, cilt.64, sa.4, ss.511-517, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 64 Sayı: 4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1016/j.camwa.2011.12.033
  • Dergi Adı: Computers and Mathematics with Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.511-517
  • Anahtar Kelimeler: Bernstein operators, Modulus of continuity, q-Bernstein operators, The King type approximation theorem
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır

Özet

In the present paper, introducing a King type modification of the Lupaş operators, the rates of statistical convergence of this modification are studied by means of the modulus of continuity and Lipschitz class functional. We also prove that, on some subintervals of [0,1], the error estimation of these operators is better than the classical q-Bernstein operators. © 2011 Elsevier Ltd. All rights reserved.