A generalization of Szász operators including Dunkl–Appell polynomials of class A(2)

Çelik F. R., İÇÖZ G.

Integral Transforms and Special Functions, cilt.36, sa.11, ss.961-976, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 11
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/10652469.2025.2473700
  • Dergi Adı: Integral Transforms and Special Functions
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.961-976
  • Anahtar Kelimeler: Dunkl–Appell polynomials of class A(2), modulus of continuity, Szász operators
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we define Dunkl–Appell polynomials of class (Formula presented.). Then we construct a generalization of Szász operators using these polynomials and derive some approximation properties of this generalization. Lastly, some graphical results are given to show the rate of convergence of constructed operators to a given function f.