Geodesic
Extremal problems in nonquasianalytic Carleman classes. Applications
Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 958-984

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An extremal problem is considered in the family of functions in a nonquasianalytic Carleman class on a closed interval that vanish together with all derivatives at a point in this interval. Applications to approximation theory and, in particular, to a system of exponentials with exponents satisfying the Fejér (or Levinson) condition are indicated; an asymptotic estimate as $\delta\to 0$ is obtained for the distance in $C_{[0,\delta]}$ between a fixed exponential and the closure of the linear span of other elements of this system. Bibliography: 25 titles.
Keywords: extremal problem, minimal system of exponentials.
Mots-clés : nonquasianalytic Carleman class 
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     author = {A. M. Gaisin},
     title = {Extremal problems in nonquasianalytic {Carleman} classes. {Applications}},
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     url = {http://geodesic.mathdoc.fr/item/SM_2018_209_7_a2/}
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A. M. Gaisin. Extremal problems in nonquasianalytic Carleman classes. Applications. Sbornik. Mathematics, Tome 209 (2018) no. 7, pp. 958-984. http://geodesic.mathdoc.fr/item/SM_2018_209_7_a2/