Thesis Type: Postgraduate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, Turkey
Approval Date: 2014
Thesis Language: Turkish
Student: Mutlu Bulut
Supervisor: İSMET YÜKSELAbstract:
In this thesis, we investigated some approximation properties of complex Durrmeyer-type operators in compact disks studied by Sorin G.GAL and Vijay GUPTA. Moreover, the exact order of simultaneous approximation, attached to analytic functions in compact disks, is obtained. Afterwards, we put in evidence the overconvergence for complex Durrmeyer operators. Thus, approximation properties are extended from the real [0,1] inteval to compact disks in the complex plane.