Geodesic
Weighted approximations by means of entire functions of exponential type
Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 185-192

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We study the approximation of continuous real functions $f(x)=O((1+|x|)^\alpha)(|x|\to\infty$, $\sigma\ge0)$ by means of entire functions of exponential type in some metric of Hausdorff type. We generalize a theorem due to N. I. Akhiezer concerning uniform weighted approximations. 
@article{MZM_1974_16_2_a0,
     author = {V. M. Veselinov},
     title = {Weighted approximations by means of entire functions of exponential type},
     journal = {Matemati\v{c}eskie zametki},
     pages = {185--192},
     publisher = {mathdoc},
     volume = {16},
     number = {2},
     year = {1974},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/}
}
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V. M. Veselinov. Weighted approximations by means of entire functions of exponential type. Matematičeskie zametki, Tome 16 (1974) no. 2, pp. 185-192. http://geodesic.mathdoc.fr/item/MZM_1974_16_2_a0/