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

Iranian Journal of Science and Technology, Transaction A: Science · Haziran 2018

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YÖKSİS Kayıtları
Approximation by Bivariate (p, q)-Bernstein–Kantorovich Operators
Iranian Journal of Science and Technology, Transactions A: Science · 2018 SCI-Expanded
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Makale Bilgileri

DergiIranian Journal of Science and Technology, Transaction A: Science
Yayın TarihiHaziran 2018
Cilt / Sayfa42 · 655-662
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.

Yazarlar (3)

1
Tuncer Acar
2
Ali Aral
ORCID: 0000-0002-2024-8607
3
Syed Abdul Mohiuddine
ORCID: 0000-0002-9050-9104

Anahtar Kelimeler

Bivariate (p, q) -Bernstein–Kantorovich operators Bivariate (p, q) -integral (p, q) -integers Rate of convergence Uniform convergence

Kurumlar

King Abdulaziz University
Jeddah Saudi Arabia
Kirikkale Üniversitesi
Kirikkale Turkey

Metrikler

100
Atıf
3
Yazar
5
Anahtar Kelime

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