Approximation properties of lambda-Kantorovich operators
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2018
- Doi Numarası: 10.1186/s13660-018-1795-7
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: Kantorovich operators, Bernstein operator, Voronovskaja theorem, Rate of convergence, THEOREM
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Gazi Üniversitesi Adresli: Evet
Özet
In the present paper, we study a new type of Bernstein operators depending on the parameter lambda is an element of [-1, 1]. The Kantorovich modification of these sequences of linear positive operators will be considered. A quantitative Voronovskaja type theorem by means of Ditzian-Totik modulus of smoothness is proved. Also, a Gruss-Voronovskaja type theorem for lambda-Kantorovich operators is provided. Some numerical examples which show the relevance of the results are given.