Approximation by complex modified Szász-Mirakjan operators
Studia Scientiarum Mathematicarum Hungarica, cilt.50, sa.3, ss.355-372, 2013 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 3
- Basım Tarihi: 2013
- Doi Numarası: 10.1556/sscmath.50.2013.3.1247
- Dergi Adı: Studia Scientiarum Mathematicarum Hungarica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.355-372
- Anahtar Kelimeler: 30C45, 41A25, 41A28, 41A35, Complex Szász-Mirakjan operators, convexity and spirallikeness, exact orders of approximation, Primary 30E10, starlikeness, univalence, Voronovskaja type results
- Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet
Özet
In this study, we investigate approximation properties and obtain Voronovskaja type results for complex modified Szász-Mirakjan operators. Also, we estimate the exact orders of approximation in compact disks and prove that the complex modified Szász-Mirakjan operators attached to an analytic function preserve the univalence, starlikeness, convexity and spirallikeness in the unit disk.