A new generalization of Kantorovich operators having three parameters
Filomat, cilt.39, sa.28, ss.10065-10075, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 28
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2528065c
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.10065-10075
- Anahtar Kelimeler: Kantorovich operators, Lp-convergence, modulus of continuity, rate of convergence, Stancu operators
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
This paper mainly deals with Kantorovich variant of generalized Stancu operators with three parameters. Initially, we exhibit approximation theorems in the space of real valued continuous functions on compact interval and next Lp-space. Additionally, we obtain some estimates for the rate of convergence by making use of modulus of continuity and Lp modulus of smoothness of the first order. Ultimately, we yield some graphical examples showing the relevance of the results.