Approximation by k-th order modifications of Szász-Mirakyan operators
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Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Akademiai Kiado Rt
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we study the k-th order Kantorovich type modication of Szasz-Mirakyan operators. We first establish explicit formulas giving the images of monomials and the moments up to order six. Using this modification, we present a quantitative Voronovskaya theorem for differentiated Szasz-Mirakyan operators in weighted spaces. The approximation properties such as rate of convergence and simultaneous approximation by the new constructions are also obtained.
Açıklama
Acar, Tuncer/0000-0003-0982-9459; Rasa, Ioan/0000-0002-5206-030X
Anahtar Kelimeler
Szasz-Mirakyan operators, Kantorovich operators, weighted modulus of continuity, quantitative Voronovskaya theorem, simultaneous approximation
Kaynak
Studia Scientiarum Mathematicarum Hungarica
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
53
Sayı
3
Künye
closedAccess
