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Approximation by complex Kantorovich-Schurer polynomials in compact disks

2012
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Advisor: Prof. Dr. Nurhayat İspir

Abstract (EN)

In this thesis, the approximation properties of complex Bernstein-Schurer and Kantorovich-Schurer polynomials attached to analytic functions on compact disks are investigated. The order of simultaneous approximation and the Voronovskaja-type theorems for these operators are given. Hence the approximation properties of Bernstein-Schurer polynomials from real intervals to compact disks in the complex plane are extended.Key Words :Complex Bernstein-Schurer, complex Kantorovich-Schurer,simultaneous approximation, the Voronovskaja-type theorem

Author

Dr. Hacer Ağbulut

How to Cite

Hacer Ağbulut (Master Thesis). Approximation by complex Kantorovich-Schurer polynomials in compact disks, 2012, Gazi University.

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