On Kantorovich Modification of (p, q)-Bernstein Operators
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer International Publishing Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, we introduce Kantorovich modifications of (p, q)-Bernstein operators using a new (p, q) -integral. We first estimate the moments and central moments. We obtain uniform convergence of new operators, rate of convergence in terms of classical modulus of continuity and second order modulus of continuity. We also investigate the rate of convergence of new operators for functions belonging to Lipschitz class and finally, we give an upper bound for the error of approximation via modulus of continuity of the derivative of approximating function.
Açıklama
Mohiuddine, S. A./0000-0002-9050-9104; Acar, Tuncer/0000-0003-0982-9459
Anahtar Kelimeler
(p, q)-Integers, (p, q)-Integral, (p, q)-Bernstein operators, (p, q)-Bernstein-Kantorovich operators, Rate of convergence
Kaynak
Iranian Journal Of Science And Technology Transaction A-Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
42
Sayı
A3
Künye
closedAccess
