A GENERALIZATION OF SZÁSZ OPERATORS WITH THE HELP OF NEW KIND APPELL POLYNOMIALS

İÇÖZ G., Tat Z.

Mathematical Foundations of Computing, cilt.8, sa.1, ss.64-73, 2025 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 8 Sayı: 1
  • Basım Tarihi: 2025
  • Doi Numarası: 10.3934/mfc.2023038
  • Dergi Adı: Mathematical Foundations of Computing
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.64-73
  • Anahtar Kelimeler: Appell polynomials, korovkin theorem, modulus of continuity, Szász operator
  • Gazi Üniversitesi Adresli: Evet

Özet

In this article, we define a new operator by Appell polynomials. Primarily, some equations are obtained by using the properties of Korovkin theorem. Later, the convergence of the operator sequence that we have defined has been proved and some approximation results have been given by using the properties of approximation theory.