Approximation by generalized Bernstein-Stancu operators
Turkish Journal of Mathematics, cilt.43, sa.4, ss.2032-2048, 2019 (SCI-Expanded, Scopus, TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 4
- Basım Tarihi: 2019
- Doi Numarası: 10.3906/mat-1903-109
- Dergi Adı: Turkish Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.2032-2048
- Anahtar Kelimeler: Moduli of continuity, Rate of convergence, Stancu operators, Voronovskaya type theorem, α-Bernstein operators
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Hayır
Özet
In this paper, we investigate approximation properties of the Stancu type generalization of the α-Bernstein operator. We obtain a recurrence relation for moments and the rate of convergence by means of moduli of continuity. Also, we present Voronovskaya and Grüss-Voronovskaya type asymptotic results for these operators. Finally, the study contains numerical considerations regarding the constructed operators based on Maple algorithms.