Generalized Picard singular integrals
Yükleniyor...
Tarih
2009
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Pergamon-Elsevier Science Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
in this article, we introduce and study a new type of Picard singular integral operators on R-n constructed by means of the concept of the nonisotropic beta-distance and the q-exponential functions. The central role here is played by the concept of nonisotropic beta-distance, which allows one to improve and generalize the results given for classical Picard and q-Picard singular integral operators. in order to obtain the rate of convergence we introduce a new type of modulus of continuity depending on the nonisotropic beta-distance with respect to the uniform norm. Then we give the definition of beta-Lebesque points depending on nonisotropic beta-distance and a pointwise approximation result shown at these points. Furthermore, we study the global smoothness preservation property of these new type Picard singular integral operators and prove a sharp inequality. (C) 2008 Elsevier Ltd. All rights reserved.
Açıklama
Anahtar Kelimeler
Picard singular integral, Nonisotropic distance, q-exponential, Rate of convergence
Kaynak
Computers & Mathematics With Applications
WoS Q Değeri
Q2
Scopus Q Değeri
Q1
Cilt
57
Sayı
5
Künye
closedAccess
