On approximation properties of a new construction of Baskakov operators
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The purpose of this research is to construct sequences of Baskakov operators such that their construction consists of a function sigma by use of two function sequences, xi n and eta n. In these operators, sigma not only features the sequences of operators but also features the Korovkin function set {1,sigma,sigma(2)} in a weighted function space such that the operators fix exactly two functions from the set. Thereafter, weighted uniform approximation on an unbounded interval, the degree of approximation with regards to a weighted modulus of continuity, and an asymptotic formula of the new operators are presented. Finally, some illustrative results are provided in order to observe the approximation properties of the newly defined Baskakov operators. The results demonstrate that the introduced operators provide better results in terms of the rate of convergence according to the selection of sigma.
Açıklama
Anahtar Kelimeler
Baskakov operators, Rate of convergence, Voronovskaya type theorem, Weighted approximation, Numerical experiments
Kaynak
Advances In Difference Equations
WoS Q Değeri
Q1
Scopus Q Değeri
N/A
Cilt
2021
Sayı
1
