On a new type of Sz´asz-Chlodowsky operators in terms of 2D Appell Polynomials

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Karakılıç İ., Aslan R., Ali M., Turhan Turan N.

FILOMAT, cilt.38, sa.31, ss.10851-10865, 2024 (SCI-Expanded)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 31
  • Basım Tarihi: 2024
  • Doi Numarası: 10.2298/fil2431851k
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.10851-10865
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The main goal of this research is to obtain several approximation properties of Kantorovich

variant Sz´asz-Chlodowsky operators based on 2D Appell Polynomials. We provide a connection between

weighted B-statistical convergence (WBSC) and the rate of WBSC concepts and approximation theory. We

also prove a Voronovskaja theorem related to WBSC. Finally, we consider certain examples and discuss the

advantages of proposed operators via certain numerical results.