On pointwise convergence of mellin type nonlinear m-singular integral operators
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
Here we give some approximation theorems concerning pointwise convergence of non- linear m-singular integral operators of Mellin type, of the form: T [m]? (f; x) = ? K?( z,? mk=1 (-1)?-1 (m ?) f(xz?)dz/z, x > 0; m ? N, with kernels satisfying some suitable singularity assumptions. Here ? is a non-empty set of indices with a topology and ?0 an accumulation point of ? in this topology.
Açıklama
Anahtar Kelimeler
Convolution, Nonlinear m-singular Mellin type integral operators, Order of Approximation, Pointwise Convergence
Kaynak
Communications on Applied Nonlinear Analysis
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
20
Sayı
2