Geodesic
Some properties of operators of Abel--Poisson type
Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 169-180.

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We obtain asymptotic estimates for approximations of certain classes of continuous and differentiable functions by operators $$ A_{\gamma,r}(f;x)=\frac1\pi\int_{-\pi}^\pi f(x+t)\Bigl(\frac12+\sum_{k=1}^\infty r^{k^\gamma}\operatorname{cor}kt\Bigr)\,dt $$ for $\gamma=1\,\text{and}\,2$. 
@article{MZM_1975_17_2_a0,
     author = {V. A. Baskakov},
     title = {Some properties of operators of {Abel--Poisson} type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {169--180},
     publisher = {mathdoc},
     volume = {17},
     number = {2},
     year = {1975},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a0/}
}
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V. A. Baskakov. Some properties of operators of Abel--Poisson type. Matematičeskie zametki, Tome 17 (1975) no. 2, pp. 169-180. http://geodesic.mathdoc.fr/item/MZM_1975_17_2_a0/