Constructive Bounded Sequences and Lipschitz Functions
نویسندگان
چکیده
Multiplier conditions equivalent to the constructive boundedness of a non-negative real sequence M are derived. If the termwise product sM is bounded in sum whenever s is bounded in sum, then an upper bound for M can be constructed. One consequence is a constructive generalization of Fichtenholz's characterization of Lipschitz functions on metric spaces. The appropriate Lipschitz constants are constructed in the sense of Bishop's constructive mathematics.
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تاریخ انتشار 2006