Strong summation of Cesaro means of Fourier-Laplace series

Zhang Wei; Zhang Xi-Rong

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Strong summation of Cesaro means of Fourier-Laplace series

Zhang Wei #,Zhang Xi-Rong *

Department of Mathematics and Physics, University of North China Electrical Power, Beijing, 102206

*Correspondence author

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Funding: none

Opened online:17 October 2013

Accepted by: none

Citation: Zhang Wei,Zhang Xi-Rong.Strong summation of Cesaro means of Fourier-Laplace series[OL]. [17 October 2013] http://en.paper.edu.cn/en_releasepaper/content/4563503

The strong summation of Fourier-Laplace series in logarithmic subclasses of $L^{2}(sum_{d})$ defined in terms of moduli of continuity is of interest.In this note,the almost everywhere convergence rates of the Cesaro means for Fourier-Laplace series of the convex subclasses areobtained.The strong approximation order of the Cesaro means and the partial summation operators are also presented.

Keywords:Casaro mean;Almost everywhere convergence;Spherical function approximation

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