On the generalized Picard and Gauss Weierstrass singular integrals
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Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Eudoxus Press, Llc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we give the generalizations of the Picard and the Gauss Weierstrass singular integral operators which are based on the q-numbers and depend on q-generalization of the Euler gamma integral. Later on, some approximation properties of these two generalized operators are established in L-p (R) and weighted -L-p (R) spaces. We also show that the rates of convergence of these generalized operators to approximating function f in the L-p-norm are at least so faster than that of the classical Picard and Gauss Weierstrass singular integral operators.
Açıklama
Anahtar Kelimeler
q-gamma integral, q-Picard and q-Gauss Weierstrass integral, weighted modulus of continuity
Kaynak
Journal Of Computational Analysis And Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q4
Cilt
8
Sayı
3
Künye
closedAccess
