Parametric generalization of Baskakov operators
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Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Osijek, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Herein we propose a non-negative real parametric generalization of Baskakov operators and call them alpha-Baskakov operators. We show that alpha-Baskakov operators can be expressed in terms of divided differences. Then, we obtain the nth order derivative of alpha-Baskakov operators in order to obtain its new representation as powers of independent variable x. In addition, we obtain Korovkins-type approximation properties of alpha-Baskakov operators. Moreover, by using the modulus of continuity, we obtain the rate of convergence. Numerical results presented show that depending on the value of the parameter alpha, an approximation to a function improves compared to classical Baskakov operators.
Açıklama
Erbay, Hasan/0000-0002-7555-541X;
Anahtar Kelimeler
Baskakov operator, divided differences, modulus of contiunity, weighted approximation
Kaynak
Mathematical Communications
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
24
Sayı
1
Künye
Aral, A. i Erbay, H. (2019). Parametric generalization of Baskakov operators. Mathematical Communications, 24 (1), 119-131.
