Gamma Generalization Operators Involving Analytic Functions
MATHEMATICS, cilt.9, sa.13, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 9 Sayı: 13
- Basım Tarihi: 2021
- Doi Numarası: 10.3390/math9131547
- Dergi Adı: MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Anahtar Kelimeler: Gamma function, Szasz operators, Boas-Buck type polynomials, analytic functions, rate of convergence
- Gazi Üniversitesi Adresli: Evet
Özet
In the present paper, we give an operator with the help of a generalization of Boas-Buck type polynomials by means of Gamma function. We have approximation properties and moments. The rate of convergence is given by the Ditzian-Totik first order modulus of smoothness and the K-functional. Furthermore, we obtain the point-wise estimations for this operator.