Majorants of the Dirichlet kernels and the Dini pointwise tests for generalized Haar systems

In this paper, we obtain five tests (three of which are symmetric) of pointwise convergence of Fourier series with respect to generalized Haar systems; the tests are similar to the Dini convergence tests. It is shown that the Dini convergence tests for Price systems are also valid for generalized Ha...

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Veröffentlicht in:	Mathematical Notes 2017-03, Vol.101 (3-4), p.542-565
1. Verfasser:	Shcherbakov, V. I.
Format:	Artikel
Sprache:	eng
Schlagworte:	Fourier series Kernels Mathematics Mathematics and Statistics
Online-Zugang:	Volltext
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