(p,q)-Generalization of Szasz-Mirakyan operators
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Wiley-Blackwell
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce new modifications of Szasz-Mirakyan operators based on (p,q)-integers. We first give a recurrence relation for the moments of new operators and present explicit formula for the moments and central moments up to order 4. Some approximation properties of new operators are explored: the uniform convergence over bounded and unbounded intervals is established, direct approximation properties of the operators in terms of the moduli of smoothness is obtained and Voronovskaya theorem is presented. For the particular case p = 1, the previous results for q-Sz asz-Mirakyan operators are captured. Copyright (c) 2015 John Wiley & Sons, Ltd.
Açıklama
Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
(p,q)-integers, (p,q)-Szasz-Mirakyan operators, weighted approximation
Kaynak
Mathematical Methods In The Applied Sciences
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
39
Sayı
10
Künye
closedAccess
