Scopus
YÖKSİS Eşleşti
On Kantorovich Modification of (p, q)-Bernstein Operators
Iranian Journal of Science and Technology, Transaction A: Science · Eylül 2018
YÖKSİS Kayıtları
On Kantorovich Modification of (p, q)-Bernstein Operators
Iranian Journal of Science and Technology, Transactions A: Science · 2018 SCI-Expanded
PROFESÖR TUNCER ACAR →
Makale Bilgileri
DergiIranian Journal of Science and Technology, Transaction A: Science
Yayın TarihiEylül 2018
Cilt / Sayfa42 · 1459-1464
Scopus ID2-s2.0-85028297268
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
Metrikler
47
Atıf
3
Yazar
5
Anahtar Kelime