Geodesic
The Properties of Functions and Approximation by Summation Rational Operators on the Real Axis
Matematičeskie zametki, Tome 76 (2004) no. 1, pp. 111-118

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In the space $C(\mathbb R)$, we construct special summation operators of Jackson type with rational kernels and under a suitable choice of poles we obtain order estimates for deviations of these operators from functions belonging to certain classes. 
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V. N. Rusak; I. V. Rybachenko. The Properties of Functions and Approximation by Summation Rational Operators on the Real Axis. Matematičeskie zametki, Tome 76 (2004) no. 1, pp. 111-118. http://geodesic.mathdoc.fr/item/MZM_2004_76_1_a10/