Approximation properties of complex q-Balazs-Szabados operators in compact disks
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2013
- Doi Numarası: 10.1186/1029-242x-2013-361
- Dergi Adı: JOURNAL OF INEQUALITIES AND APPLICATIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: complex q-Balazs-Szabados operators, order of convergence, Voronovskaja-type theorem, approximation in compact disks
- Gazi Üniversitesi Adresli: Evet
Özet
This paper deals with approximating properties and convergence results of the complex q-Balazs-Szabados operators attached to analytic functions on compact disks. The order of convergence and the Voronovskaja-type theorem with quantitative estimate of these operators and the exact degree of their approximation are given. Our study extends the approximation properties of the complex q-Balazs-Szabados operators from real intervals to compact disks in the complex plane with quantitative estimate.