Approximation properties of Kantorovich type q-Balazs-Szabados operators

Yildiz Ozkan E.

DEMONSTRATIO MATHEMATICA, cilt.52, sa.1, ss.10-19, 2019 (Hakemli Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1515/dema-2019-0002
  • Dergi Adı: DEMONSTRATIO MATHEMATICA
  • Sayfa Sayıları: ss.10-19
  • Anahtar Kelimeler: Balazs-Szabados operators, q-calculus, rate of convergence, Peetre's K-functional, STATISTICAL APPROXIMATION
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce a new kind of q-Balazs-Szabados-Kantorovich operators called q-BSK operators. We give a weighted statistical approximation theorem and the rate of convergence of the q-BSK operators. Also, we investigate the local approximation results. Further, we give some comparisons associated with the convergence of q-BSK operators.