APPROXIMATION BY COMPLEX MODIFIED SZASZ-MIRAKJAN OPERATORS

Cetin N., İSPİR N.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, cilt.50, sa.3, ss.355-372, 2013 (SCI-Expanded) identifier identifier

  • 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: Complex Szasz-Mirakjan operators, Voronovskaja type results, exact orders of approximation, univalence, starlikeness, convexity and spirallikeness
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we investigate approximation properties and obtain Voronovskaja type results for complex modified Szasz-Mirakjan operators. Also, we estimate the exact orders of approximation in compact disks and prove that the complex modified Szasz-Mirakjan operators attached to an analytic function preserve the univalence, starlikeness, convexity and spirallikeness in the unit disk.