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Convexity, smoothness and martingale inequalities

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Abstract

Necessary and sufficient conditions are given, in terms of the behaviour of martingales, for a Banach space to be given on equivalent norm under which it isδ-uniformly convex orρ-uniformly smooth, whereδ andρ are suitable Orlicz functions.

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References

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Authors and Affiliations

  1. St. John’s College, Cambridge, England

    D. J. H. Garling

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  1. D. J. H. Garling
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Garling, D.J.H. Convexity, smoothness and martingale inequalities. Israel J. Math. 29, 189–198 (1978). https://doi.org/10.1007/BF02762008

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  • DOI: https://doi.org/10.1007/BF02762008

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