Approximation by Operators Including Generalized Appell Polynomials
FILOMAT, cilt.30, sa.2, ss.429-440, 2016 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 30 Sayı: 2
- Basım Tarihi: 2016
- Doi Numarası: 10.2298/fil1602429i
- Dergi Adı: FILOMAT
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.429-440
- Anahtar Kelimeler: Szasz operator, Generalized Appell polynomials, Miller-Lee polynomials, Gould-Hopper polynomials
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this work, the problem of the approximation by certain polynomials is addressed. A new type operators sequence including generalized Appell polynomials are defined, qualitative and quantitative approximation theorems are proved. Some explicit examples of our operators involving Hermite polynomials of nu variance, Gould-Hopper polynomials and Miller-Lee polynomials are given. Also, we present some numerical examples to confirm our theoretical results.