Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
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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 for bivariate functions using a new (p, q)-integral. We first estimate the moments and central moments. We give the uniform convergence of new operators, rate of convergence in terms of modulus of continuity. The approximations behaviours of the operators for functions having continuous partial derivatives and for functions belong to Lipschitz class are investigated as well.
Açıklama
Acar, Tuncer/0000-0003-0982-9459; Mohiuddine, S. A./0000-0002-9050-9104;
Anahtar Kelimeler
(p , q)-integers, Bivariate (p , q)-integral, Bivariate (p , q) -Bernstein-Kantorovich operators, Rate of convergence, Uniform convergence
Kaynak
Iranian Journal Of Science And Technology Transaction A-Science
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
42
Sayı
A2
Künye
closedAccess