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

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

FILOMAT, vol.38, no.31, pp.10851-10865, 2024 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 31
  • Publication Date: 2024
  • Doi Number: 10.2298/fil2431851k
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.10851-10865
  • Keywords: 2D Appell Polynomials, Szasz operators, Chlodowsky operators, weighted statistical convergence, Voronovskaja type theorem
  • Dokuz Eylül University Affiliated: Yes

Abstract

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.