complex bernstein polynomials
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Mathematics ◽  
2021 ◽  
Vol 9 (21) ◽  
pp. 2748
Author(s):  
Carlo Cattani ◽  
Çíğdem Atakut ◽  
Özge Özalp Güller ◽  
Seda Karateke

The aim of this work is to consider bicomplex Bernstein polynomials attached to analytic functions on a compact C2-disk and to present some approximation properties extending known approximation results for the complex Bernstein polynomials. Furthermore, we obtain and present quantitative estimate inequalities and the Voronovskaja-type result for analytic functions by bicomplex Bernstein polynomials.


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