Approximation properties of Szasz-Mirakyan operators preserving exponential functions
Yükleniyor...
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper is a natural continuation of Acar et al. (Mediterr J Math 14:6, 2017, 10.1007/s00009-016-0804-7) where Szasz-Mirakyan operators preserving exponential functions are defined. As a first result, we show that the sequence of the norms of the operators, acting on weighted spaces having different weights, is uniformly bounded. Then, we prove Korovkin type approximation theorems through exponential weighted convergence. The uniform weighted approximation errors of the operators and their derivatives are characterized for exponential weights. Furthermore we give a Voronovskaya type theorem for the derivative of the operators.
Açıklama
Anahtar Kelimeler
Szasz-Mirakyan operators, Weighted modulus of continuity, Uniform convergence, Voronovskaya type theorem
Kaynak
Positivity
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
23
Sayı
1
Künye
closedAccess
