Rate of Pointwise Approximation of Functions by the Ces\`aro $(C,\beta)$-Means of Their Fourier Series
Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 217-228.

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We consider the interrelation between the smoothness of a function at a fixed point with the behavior at this point of the Cesàro $(C,\beta)$-means of the Fourier series of this function.
Keywords: pointwise approximation of a function, smoothness of a function, Fourier series, Cesàro means, Dirichlet kernel.
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A. M. D'yachenko. Rate of Pointwise Approximation of Functions by the Ces\`aro $(C,\beta)$-Means of Their Fourier Series. Matematičeskie zametki, Tome 88 (2010) no. 2, pp. 217-228. http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a5/

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