Volume no :14, Issue no: 2, November (2015)

FURTHER RESULTS ON APPROXIMATION BY DOUBLE SINGULAR INTEGRAL OPERATORS WITH RADIAL KERNELS

Author's: Gumrah Uysal and Ertan Ibikli
Pages: [151] - [166]
Received Date: October 25, 2015
Submitted by:
DOI: http://dx.doi.org/10.18642/jpamaa_7100121560

Abstract

This paper contains some results on the point-wise convergence of a family of singular integral operators with radial kernels given in the following form:



where is a set of non-negative numbers with accumulation point Here, the functions are measurable in the sense of Lebesgue.

Keywords

generalized Lebesgue point, radial kernel, point-wise convergence, rate of convergence.