Geodesic
Approximation by Riesz sums of periodic functions of H\"older classes
Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 341-354

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We have found asymptotic equalities for the least upper bounds of the deviations of Riesz sums on the Hölder classes $W^rH_\omega$, $r$ is a nonnegative integer, $\omega(t)$ is an arbitrary convex modulus of continuity. 
@article{MZM_1977_21_3_a6,
     author = {A. I. Stepanets},
     title = {Approximation by {Riesz} sums of periodic functions of {H\"older} classes},
     journal = {Matemati\v{c}eskie zametki},
     pages = {341--354},
     publisher = {mathdoc},
     volume = {21},
     number = {3},
     year = {1977},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/}
}
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A. I. Stepanets. Approximation by Riesz sums of periodic functions of H\"older classes. Matematičeskie zametki, Tome 21 (1977) no. 3, pp. 341-354. http://geodesic.mathdoc.fr/item/MZM_1977_21_3_a6/