Fatou type convergence of nonlinear m-singular integral operators
Yükleniyor...
Tarih
2014
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper we investigate both the pointwise convergence and the Fatou type convergence of the operators (T-lambda([m]) f) (x) = integral K-infinity(-infinity)lambda (t, Sigma(m)(k=1)(-1)(k-1)(m k)f(x+kt)) dt, x is an element of R, lambda is an element of Lambda, to f(x(0)) as lambda -> lambda(0) and (x, lambda) -> (x(0), lambda(0)) in L-p(R)(p >= 1), respectively. Here Lambda is a nonempty set of indices with a topology and lambda(0) is an accumulation point of Lambda in this topology. (C) 2014 Elsevier Inc. All rights reserved.
Açıklama
Anahtar Kelimeler
Convergence, Fatou Type Convergence, Order of Convergence, Nonlinear m-singular Integral, L-p Spaces
Kaynak
Applied Mathematics And Computation
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
246
