Geodesic
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. 
@article{MZM_2010_88_2_a5,
     author = {A. M. D'yachenko},
     title = {Rate of {Pointwise} {Approximation} of {Functions} by the {Ces\`aro} $(C,\beta)${-Means} of {Their} {Fourier} {Series}},
     journal = {Matemati\v{c}eskie zametki},
     pages = {217--228},
     publisher = {mathdoc},
     volume = {88},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2010_88_2_a5/}
}
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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/