On Szasz-Mirakyan Operators Preserving e(2ax), a > 0
Yükleniyor...
Tarih
2017
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
A modification of Szasz-Mirakyan operators is presented that reproduces the functions 1 and e(2ax), a > 0 fixed. We prove uniform convergence, order of approximation via a certain weighted modulus of continuity, and a quantitative Voronovskaya-type theorem. A comparison with the classical Szasz-Mirakyan operators is given. Some shape preservation properties of the new operators are discussed as well. Using a natural transformation, we also present a uniform error estimate for the operators in terms of the first- and second-order moduli of smoothness.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
Szasz-Mirakyan operators, King operators, Weighted modulus of continuity, Uniform convergence
Kaynak
Mediterranean Journal Of Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
14
Sayı
1
Künye
closedAccess
