A Generalization of Szász-Baskakov Operators by using the Appell Polynomials of Class A(2)


Kanat K., Sofyalioglu Aksoy M., Karadas V.

Gazi University Journal of Science, cilt.37, sa.4, ss.1918-1926, 2024 (ESCI, Scopus, TRDizin)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 4
  • Basım Tarihi: 2024
  • Doi Numarası: 10.35378/gujs.1391889
  • Dergi Adı: Gazi University Journal of Science
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Communication Abstracts, Metadex, Civil Engineering Abstracts, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1918-1926
  • Anahtar Kelimeler: A(2) class Appell polynomials, Modulus of continuity, Steklov function, Szász-Baskakov operators
  • Ankara Hacı Bayram Veli Üniversitesi Adresli: Evet

Özet

In this paper, we obtain a generalization of the Szász-Baskakov operators with the help of A(2) class Appell polynomials. For every compact subset of [0, ∞), the uniform convergence of these operators is provided. We also mention the convergence rate of our new operators and then we find some approximation results. The rate of convergence is obtained with the help of the Steklov function.