Kantorovich-type generalization of parametric Baskakov operators
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.42, sa.18, ss.6580-6587, 2019 (SCI-Expanded, Scopus)
- 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.