Geodesic
Approximation of functions belonging to the Hölder class on a half-axis
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 127-137 Cet article a éte moissonné depuis la source Math-Net.Ru

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The Hölder class $\Lambda_\alpha$ $(0<\alpha<1)$ on the half-axis $[0,\infty)$ is described in terms of the rate of approximation by entire functions of order 1/2 that belong to a special class. 
@article{ZNSL_1999_262_a4,
     author = {T. S. Davydova and N. A. Shirokov},
     title = {Approximation of functions belonging to the {H\"older} class on a half-axis},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {127--137},
     year = {1999},
     volume = {262},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a4/}
}
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T. S. Davydova; N. A. Shirokov. Approximation of functions belonging to the Hölder class on a half-axis. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 27, Tome 262 (1999), pp. 127-137. http://geodesic.mathdoc.fr/item/ZNSL_1999_262_a4/