Approximation by Bivariate (p, q)-Bernstein-Kantorovich Operators

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Küçük Resim

Tarih

2018

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 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