Approximation properties of generalized Baskakov–Schurer–Szasz–Stancu operators preserving e − 2 a x , a> 0
Journal of Inequalities and Applications, cilt.2019, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 2019
- Basım Tarihi: 2019
- Doi Numarası: 10.1186/s13660-019-2062-2
- Dergi Adı: Journal of Inequalities and Applications
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Exponential functions, Modulus of continuity, Voronovskaya-type theorem
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
The current paper deals with a modified form of the Baskakov–Schurer–Szasz–Stancu operators which preserve e − 2 a x for a> 0. The uniform convergence of the modified operators is shown. The rate of convergence is investigated by using the usual modulus of continuity and the exponential modulus of continuity. Then Voronovskaya-type theorem is given for quantitative asymptotic estimation.