ON THE MULTIPLE APPELL POLYNOMIALS OF CLASS A(2) AND GENERALIZATION TO SZÁSZ OPERATORS
Journal of Mathematical Inequalities, cilt.20, sa.2, ss.745-758, 2026 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 2
- Basım Tarihi: 2026
- Doi Numarası: 10.7153/jmi-2026-20-44
- Dergi Adı: Journal of Mathematical Inequalities
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.745-758
- Anahtar Kelimeler: modulus of continuity, Multiple Appell polynomials of class A^(2), Szász operator
- Gazi Üniversitesi Adresli: Evet
Özet
In this study, we define the multiple Appell polynomials of class A(2), construct a generalization of Szász operators using these polynomials and derive some approximation properties of this generalization. In addition, an example, including a graph, is provided to illustrate visually the convergence to a function. Lastly, we introduce the bivariate case of the Szász-type operators based on multiple Appell polynomials of class A(2). We establish a uniform convergence theorem and determine the degree of approximation in terms of the partial moduli of continuity of the approximated function.