APPROXIMATION BY COMPLEX MODIFIED SZASZ-MIRAKJAN OPERATORS

Cetin N., İSPİR N.

STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, vol.50, no.3, pp.355-372, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 50 Issue: 3
  • Publication Date: 2013
  • Doi Number: 10.1556/sscmath.50.2013.3.1247
  • Journal Name: STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.355-372
  • Keywords: Complex Szasz-Mirakjan operators, Voronovskaja type results, exact orders of approximation, univalence, starlikeness, convexity and spirallikeness
  • Gazi University Affiliated: Yes

Abstract

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.