Some new results on bicomplex bernstein polynomials

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Cattani C., ATAKUT Ç., Güller Ö. Ö., Karateke S.

Mathematics, cilt.9, sa.21, 2021 (SCI-Expanded, Scopus) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 21
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/math9212748
  • Dergi Adı: Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: bicomplex Bernstein polynomials, analytic functions, holomorphic functions, Voronovskaja-type theorem, THEOREM
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Üniversitesi Adresli: Evet

Özet

© 2021 by the authors. Licensee MDPI, Basel, Switzerland.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.