Kantorovich-type generalization of parametric Baskakov operators

İNCE İLARSLAN H. G., ERBAY H., ARAL A.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.18, ss.6580-6587, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 42 Sayı: 18
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1002/mma.5762
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.6580-6587
  • Anahtar Kelimeler: alpha-Kantorovich operator, Voronovskaja-type theorem, weighted approximation
  • Gazi Üniversitesi Adresli: Evet

Özet

In this manuscript, we define a Kantorovich generalization of the nonnegative parametric Baskakov operators. After that, the weighted uniform convergence of the generalized operators is proved. Also, we present Voronovskaja-type asymptotic approximation theorem then establish weighted approximation properties for parametric Kantorovich operator. Numerical results show that depending on the value of the parameter, we obtain a better approximation.