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Bibliographic Details
Main Authors: Fischer, Jan, Ziebell, Jobst
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.00675
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Table of Contents:
  • On normed vector spaces there is a well-known connection between the Tikhonov well-posedness of a minimisation problem and the differentiability of an associated convex conjugate function. We show how this duality naturally generalises to the setting of asymmetrically normed spaces and prove a universal differentiability property of the convex conjugate of the cumulant-generating function of a mean-zero measure on a locally convex space.