Gamma Generalization Operators Involving Analytic Functions

Cai Q., ÇEKİM B., İÇÖZ G.

MATHEMATICS, cilt.9, sa.13, 2021 (SCI-Expanded) identifier identifier

  • 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.