On absolute Ces\'aro summablity of Fourier series for almost-periodic functions with limiting points at zero
Ufa mathematical journal, Tome 8 (2016) no. 4, pp. 144-151

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In the paper we establish some tests for absolute Cesáro summability of the Fourier series for almost-periodic in the Bezikovich sense. We consider the case, when the Fourier exponents have a limiting point at zero and as a structure characteristics of the studied function we use a high order averaging modulus.
Keywords: absolute summability, almost-periodic function, Fourier series, Fourier exponents, limiting point at zero, averaging module.
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     author = {Yu. Kh. Khasanov},
     title = {On absolute {Ces\'aro} summablity of {Fourier} series for almost-periodic functions with limiting points at zero},
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Yu. Kh. Khasanov. On absolute Ces\'aro summablity of Fourier series for almost-periodic functions with limiting points at zero. Ufa mathematical journal, Tome 8 (2016) no. 4, pp. 144-151. http://geodesic.mathdoc.fr/item/UFA_2016_8_4_a10/