On pointwise convergence of mellin type nonlinear m-singular integral operators

Küçük Resim Yok

Tarih

2013

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

Künye