Function approximation by singular integral and applications
[ X ]
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Function approximation by convolution type singular integrals has important applications in differential and integral equations. In this paper we study general singular operators. We first develop the test conditions for the convergence of convolution type singular integral operators to approximated function in the exponential weighted space. Then we propose, for estimating the rate of approximation, in new modulus of smoothness and examine the main properties of this modulus of smoothness. We also give some applications for the Gauss-Weierstrass integral.
Açıklama
Anahtar Kelimeler
Convolution operators, The order of approximation, The weighted modulus of continuity
Kaynak
WSEAS Transactions on Mathematics
WoS Q Değeri
Scopus Q Değeri
Q2
Cilt
4
Sayı
4
Künye
closedAccess
