Approximation Properties of Complex Modified Genuine Szász–Durrmeyer Operators
Computational Methods and Function Theory, cilt.14, sa.4, ss.623-638, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 4
- Basım Tarihi: 2014
- Doi Numarası: 10.1007/s40315-014-0067-x
- Dergi Adı: Computational Methods and Function Theory
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.623-638
- Anahtar Kelimeler: Complex genuine Szász–Durrmeyer operators, Exact order of approximation, Simultaneous approximation, Voronovskaja-type result
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this study, to approximate integrable functions, we introduce complex modified genuine Szász–Durrmeyer operators and investigate the approximation properties of these operators. We obtain a Voronovskaja-type result with a quantitative estimate for complex modified genuine Szász–Durrmeyer operators attached to analytic functions having suitable exponential growth on compact disks. Also, we obtain the exact order of approximation.