On approximation properties of a family of linear operators at critical value of parameter
Yükleniyor...
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc Elsevier Science
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
We introduce the family of linear operators [GRAPHICS] associated to a certain "admissible bunch" of operators S-t, t > 0, acting on L-p (R-n, dm, and investigate the approximation properties of this family as alpha -> 0(+). We give some applications to the Riesz and the Bessel potentials generated by the ordinary (Euclidean) and generalized translations. (C) 2005 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Riesz potentials, Bessel potentials, generalized translation, Lipschitz point, Poisson semigroup, metaharmonic semigroup
Kaynak
Journal Of Approximation Theory
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
138
Sayı
2
Künye
Aliev, I.A., Gadjiev, A.D., & Aral, A. (2006). On approximation properties of a family of linear operators at critical value of parameter. J. Approx. Theory, 138, 242-253.
