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A direct proof of the s-Hölder continuity of Breckner s-convex functions

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Summary.

We give a direct proof of W. W. Breckner's result that Breckner s-convex real-valued functions on finite dimensional normed spaces are locally s-Hölder.

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  1. Leon Koźmiński Academy of Entrepreneurship and Management, Jagiellonska 59, PL-03-301 Warsaw, Poland, and GREMAQ, University of Toulouse I, 21, Allée de Brienne, F-31000 Toulouse, France, e-mail: mpycia@wspiz.edu.pl, , , , , , PL

    M. Pycia

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  1. M. Pycia
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Received: January 21, 1999; revised version: March 13, 2000.

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Pycia, M. A direct proof of the s-Hölder continuity of Breckner s-convex functions. Aequ. math. 61, 128–130 (2001). https://doi.org/10.1007/s000100050165

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  • DOI: https://doi.org/10.1007/s000100050165

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