The Borel problem for Denjoy-Carleman and Braun-Meise-Taylor classes has well-known optimal solutions. The unified treatment of these ultradifferentiable classes by means of one-parameter families of weight sequences allows to compare these optimal solutions. We determine the relations among them and give conditions for their equivalence in the Roumieu case.
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Nenning et al. (2022) studied this question.
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