Stancu Type Operators Including Generalized Brenke Polynomials

SUCU S.

FILOMAT, cilt.36, sa.7, ss.2381-2389, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 7
  • Basım Tarihi: 2022
  • Doi Numarası: 10.2298/fil2207381s
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.2381-2389
  • Anahtar Kelimeler: Generalized Brenke polynomials, Gould-Hopper polynomials, Miller-Lee polynomials, Szasz operator
  • Ankara Üniversitesi Adresli: Evet

Özet

Our objective in this paper is to present the sequence of Stancu type operators including generalized Brenke polynomials. We answer the problem of uniform approximation of continuous functions on closed bounded interval and the problem of the order of this convergence estimate by known tools in approximation theory. Furthermore, we apply some of the results obtained in this work to Miller-Lee polynomials and Gould-Hopper polynomials.