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On Kantorovich Modification of (p, q)-Bernstein Operators

Iranian Journal of Science and Technology Transaction A Science · Eylül 2018

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YÖKSİS Kayıtları
On Kantorovich Modification of (p, q)-Bernstein Operators
Iranian Journal of Science and Technology, Transactions A: Science · 2018 SCI-Expanded
Prof. Dr. TUNCER ACAR →
YÖKSİS ISSN Eşleşmesi

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Makale Bilgileri

ISSN10286276
Yayın TarihiEylül 2018
Cilt / Sayfa42 · 1459-1464
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.

Yazarlar (3)

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

Anahtar Kelimeler

(p, q) -Bernstein–Kantorovich operators (p, q) -Bernstein operators (p, q) -Integers (p, q) -Integral Rate of convergence

Kurumlar

King Abdulaziz University
Jeddah Saudi Arabia
Kirikkale Üniversitesi
Kirikkale Turkey
Scimago Dergi (ISSN Eşleşmesi)
Iranian Journal of Science and Technology, Transaction A: Science
Q2
SJR Skoru0,287
H-Index36
YayıncıSpringer International Publishing AG
ÜlkeSwitzerland
Agricultural and Biological Sciences (miscellaneous) (Q2)
Chemistry (miscellaneous) (Q3)
Earth and Planetary Sciences (miscellaneous) (Q3)
Engineering (miscellaneous) (Q3)
Mathematics (miscellaneous) (Q3)
Physics and Astronomy (miscellaneous) (Q3)
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50
Atıf
3
Yazar
5
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