On behaviour of the Riesz and generalized Riesz potentials as order tends to zero
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Tarih
2007
Yazarlar
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Element
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we present the Riesz potentials I-alpha and the generalized Riesz potentials I-v(alpha) as the families of positive linear operators, depending on parameter alpha > 0. We investigate their pointwise convergence and convergence in the norm as alpha -> 0. We investigate also the order of approximation of these families and show in particular that the order of approximation at the Lipschitz points is independent from Lipschitz degree.
Açıklama
Anahtar Kelimeler
Riesz potentials, generalized translation operator, d-point, Lipschitz point, approximation, modulus of continuity
Kaynak
Mathematical Inequalities & Applications
WoS Q Değeri
Q4
Scopus Q Değeri
Q1
Cilt
10
Sayı
4
