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arXiv · 1704.01825

On the mean summability of series by nonlinear basis

Hatice Aslan·Ali Guven
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Abstract

The nonlinear signal processing has achieved a rapid process in the recent years. A family of nonlinear Fourier bases, as a typical family of mono-component signals, has been constructed and applied to signal processing. In this paper, the approximation properties of the partial sums and Ces?aro summability of series by the nonlinear Fourier basis are investigated in the Lp(T). Furthermore, these results are applied to the prove of Bernstein's inequalities for nonlinear trigonometric polynomials.

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Hatice Aslan, Ali Guven. 2017-04-06. On the mean summability of series by nonlinear basis. https://arxiv.org/abs/1704.01825

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