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1. The approximation of functions from by Fourier–Laplace series

Author

Ahmedov, Anvarjon A. and Abdul Aziz, Norashikin

Subjects
*APPROXIMATION theory, *FOURIER series, *ALGEBRAIC functions, *MAXIMAL functions, *OPERATOR theory, *MATHEMATICAL analysis
Abstract

Abstract: In this paper, a study of the approximation of functions from 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 to . The result provides a natural and intrinsic characterization of the approximation of the functions by Fourier–Laplace series. [Copyright &y& Elsevier]

Published
2012
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