Durrmeyer form of the operators including ∆ϕ-Appell polynomials

Yılmaz B. Z. S., İÇÖZ G.

Filomat, cilt.39, sa.25, ss.8975-8984, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 25
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2525975s
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.8975-8984
  • Anahtar Kelimeler: Appell polynomials, Lipschitz class, Szász operators, Voronovskaja-type theorem
  • Gazi Üniversitesi Adresli: Evet

Özet

The present paper aims at demonstrating the Durrmeyer type modification of the operators including degenerate Appell polynomials and obtain the rate of approximation through the usual modulus of continuity and Lipschitz class functions. Moreover, we consider the convergence degree for a Peetre’s K-functional and give the Voronovskaja-type theorem.