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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

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✦ 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.


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