Approximation and geometric properties of complex Favard–Szász–Mirakjan operators in compact disks

✍ Scribed by Sorin G. Gal

• Publisher: Elsevier Science
• Year: 2008
• Tongue: English
• Weight: 228 KB
• Volume: 56
• Category: Article
• ISSN: 0898-1221
• DOI: 10.1016/j.camwa.2008.02.014

✦ Synopsis

In this paper, first we obtain quantitative estimates of the convergence and of the Voronovskaja's theorem in compact disks, for complex Favard-Szász-Mirakjan operators attached to analytic functions satisfying some suitable exponential-type growth condition. Then, we prove that beginning with an index, these operators preserve the starlikeness, convexity and spirallikeness in the unit disk.