Parametric Extension of a Certain Family of Summation-Integral Type Operators
Cumhuriyet Science Journal, cilt.44, sa.2, ss.315-327, 2023 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 44 Sayı: 2
- Basım Tarihi: 2023
- Doi Numarası: 10.17776/csj.1173496
- Dergi Adı: Cumhuriyet Science Journal
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.315-327
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we introduce a parametric extension of a certain family of summation-integral type operators on the interval [0,∞). Firstly, we obtain test functions and central moments. Secondly, we investigate weighted approximation properties for these operators and estimate the rate of convergence. Then, we give a pointwise approximation for the Peetre K-functional and functions of the Lipschitz class. Moreover, we demonstrate Voronovskaja type theorem for the operators. Finally, the convergence properties of operators to some functions are illustrated by graphics.