ON SZÁSZ-MIRAKYAN TYPE OPERATORS PRESERVING POLYNOMIALS
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Tarih
2017
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Publishing House of the Romanian Academy
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, a modification of Szász-Mirakyan operators is studied [1] which generalizes the Szász-Mirakyan operators with the property that the linear combination e2 + ?e1 of the Korovkin’s test functions e1 and e2 are repro-duced for ? ? 0. After providing some computational results, shape preserving properties of mentioned operators are obtained. Moreover, some estimations for the rate of convergence of these operators by using different type modulus of continuity are shown. Furthermore, a Voronovskaya-type formula and an approximation result for derivative of operators are calculated. © 2017, Publishing House of the Romanian Academy. All rights reserved.
Açıklama
Anahtar Kelimeler
modified operator; shape preserving properties; Szász-Mirakyan operators; Voronovskaya-type theorem
Kaynak
Journal of Numerical Analysis and Approximation Theory
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
46
Sayı
1
