GBS Operators of LupaAY-Durrmeyer Type Based on Polya Distribution
RESULTS IN MATHEMATICS, cilt.69, ss.397-418, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 69
- Basım Tarihi: 2016
- Doi Numarası: 10.1007/s00025-015-0507-6
- Dergi Adı: RESULTS IN MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.397-418
- Anahtar Kelimeler: Lupas-Durrmeyer operators, B-continuous function, B-differentiable function, GBS operators, Polya distribution, mixed modulus of smoothness, STANCU TYPE, K-FUNCTIONALS, APPROXIMATION, SMOOTHNESS
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we study an extension of the bivariate LupaAY-Durrmeyer operators based on Polya distribution. For these operators we get a Voronovskaja type theorem and the order of approximation using Peetre's K-functional. Then, we construct the Generalized Boolean Sum operators of LupaAYaEuro"Durrmeyer type and estimate the degree of approximation in terms of the mixed modulus of smoothness.