Complex Generalized Stancu Operators Depending on Three Parameters


Çetin N.

Dolomites Research Notes on Approximation, cilt.18, sa.2, ss.47-55, 2025 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.25430/pupj-drna-2025-2-7
  • Dergi Adı: Dolomites Research Notes on Approximation
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.47-55
  • Anahtar Kelimeler: complex Stancu operator, exact degree of approximation, Perturbed Bernstein operator, simultaneous approximation
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

In this paper, we consider a new generalization of complex Stancu operators. We obtain quantitative upper estimates for the convergence, lower estimates from a qualitative Voronovskaja-type theorem and then the exact degree of simultaneous approximation by these operators attached to analytic functions in a disk centered at the origin with radius greater than 1. Also, we give some graphical and numerical examples.