GBS operators of Bernstein-Schurer-Kantorovich type based on q-integers

Sidharth M., İSPİR N., Agrawal P. N.

APPLIED MATHEMATICS AND COMPUTATION, cilt.269, ss.558-568, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 269
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1016/j.amc.2015.07.052
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.558-568
  • Anahtar Kelimeler: q-Bernstein-Schurer-Kantorovich operators, Partial moduli of continuity, B-continuous, B-differentiable, GBS operators, Modulus of smoothness operators, K-FUNCTIONALS, APPROXIMATION, SMOOTHNESS
  • Gazi Üniversitesi Adresli: Evet

Özet

Agrawal et al. (2015) constructed a bivariate generalization of a new kind of Kantorovich-type q-Bernstein-Schurer operators and studied a Voronovskaja type theorem and the rate of convergence in terms of the Lipschitz class function and the complete modulus of continuity. The concern of this paper is to obtain the degree of approximation for these bivariate operators in terms of the partial moduli of continuity and the Peetre's K-functional. Finally, we construct the GBS (Generalized Boolean Sum) operators of bivariate q-Bernstein-Schurer-Kantorovich type and estimate the rate of convergence for these operators with the help of mixed modulus of smoothness. (C) 2015 Elsevier Inc. All rights reserved.