Mathematics (Oct 2021)

Some New Results on Bicomplex Bernstein Polynomials

  • Carlo Cattani,
  • Çíğdem Atakut,
  • Özge Özalp Güller,
  • Seda Karateke

DOI
https://doi.org/10.3390/math9212748
Journal volume & issue
Vol. 9, no. 21
p. 2748

Abstract

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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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