Geodesic
The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators
Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 201-210

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Let $C_n(\varphi,\alpha)$ be the upper bound for deviations of periodic functions which form the Zygmund class $Z_\alpha$, $0\alpha2$ from a class of positive linear operators. A study is made of the conditions under which there exists a limit $\lim\limits_{n\to\infty}n^\alpha C_n(\varphi,\alpha)$. An explicit expression is given for the functions $C(\varphi,\alpha)$. 
@article{MZM_1968_4_2_a11,
     author = {L. I. Bausov},
     title = {The order of approximation to functions of the $Z_\alpha$. {Class} by means of positive linear operators},
     journal = {Matemati\v{c}eskie zametki},
     pages = {201--210},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/}
}
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L. I. Bausov. The order of approximation to functions of the $Z_\alpha$. Class by means of positive linear operators. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 201-210. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a11/