Rate of convergence of stancu type modified q-gamma operators for functions with derivatives of bounded variation
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Amer Inst Mathematical Sciences-Aims
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Recently, Karsli [15] estimated the convergence rate of the q-Bernstein-Durrmeyer operators for functions whose q-derivatives are of bounded variation on the interval [0, 1]. Inspired by this study, in the present paper we deal with the convergence rate of a q- analogue of the Stancu type modified Gamma operators, defined by Karsli et al. [17], for the functions phi whose q-derivatives are of bounded variation on the interval [0, infinity). We present the approximation degree for the operator (S-n,l,q((alpha,beta)) phi) (3) at those points 3 at which the one sided q-derivatives D-q(+) phi(3) and D-q(-) phi(3) exist.
Açıklama
Anahtar Kelimeler
Q-Gamma Operators, Right and Left Q-Derivatives, Convergence Rate, Bounded Variation, Discrete Q-Derivatives, Approximation Properties
Kaynak
Mathematical Foundations of Computing
WoS Q Değeri
N/A
Scopus Q Değeri
Q3
Cilt
6
Sayı
4
Künye
Karsli, H., & Agrawal, P. N. (2023). Rate of convergence of Stancu type modified $ q $-Gamma operators for functions with derivatives of bounded variation. Mathematical Foundations of Computing, 6(4), 601-615.
