q-generalizations of the Picard and Gauss-Weierstrass singular integrals
Yükleniyor...
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mathematical Soc Rep China
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Introducing a higher order modulus of smoothness based on q-integers, in this paper first we obtain Jackson-type estimates in approximation by Jackson-type generalizations of the q-Picard and q-Gauss-Weierstrass singular integrals and give their global smoothness preservation property with respect to the uniform norm. Then, we study approximation and geometric properties of the complex variants for these q -singular integrals attached to analytic functions in compact disks. Finally, we prove approximation properties of these q-singular integrals attached to vector-valued functions.
Açıklama
Anahtar Kelimeler
q-Picard singular integral, q-Gauss-Weierstrass singular integral, Jackson-type estimate, Modulus of continuity, Complex q-singular integrals, Starlike, Convex and spirallike functions, Vector valued functions
Kaynak
Taiwanese Journal Of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
12
Sayı
9
Künye
closedAccess
