Integral-type generalizations of operators obtained from certain multivariate polynomials
CALCOLO, cilt.45, sa.1, ss.53-67, 2008 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 45 Sayı: 1
- Basım Tarihi: 2008
- Doi Numarası: 10.1007/s10092-008-0143-6
- Dergi Adı: CALCOLO
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.53-67
- Gazi Üniversitesi Adresli: Evet
Özet
In this work, we mainly focus on the Kantorovich-type (integral-type) generalizations of the positive linear operators obtained from the Chan-Chyan-Srivastava multivariable polynomials. Using the notion of A-statistical convergence, we obtain various approximation theorems including a statistical Korovkin-type result and rates of A-statistical convergence with the help of the modulus of continuity, Lipschitz class functionals and Peetre's K-functionals. We also introduce an sth order generalization of our approximating operators.