On a new type of Szasz-Chlodowsky operators in terms of 2D Appell Polynomials

KARAKILIÇ İ., Aslan R., Ali M., Turhan N.

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

  • 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), Scopus
  • Sayfa Sayıları: ss.10851-10865
  • Anahtar Kelimeler: 2D Appell Polynomials, Szasz operators, Chlodowsky operators, weighted statistical convergence, Voronovskaja type theorem
  • Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The main goal of this research is to obtain several approximation properties of Kantorovich variant Szasz-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.