Article ID Journal Published Year Pages File Type
6423058 Journal of Computational and Applied Mathematics 2012 8 Pages PDF
Abstract

In this paper, a study of the approximation of functions from LlogL(loglogL)(SN) by Fourier-Laplace series is performed. It is proved that the maximal operator of the Riesz means of the Fourier-Laplace series is bounded, from L1 to LlogL(loglogL)(SN). The result provides a natural and intrinsic characterization of the approximation of the functions by Fourier-Laplace series.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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