Midconvex functions in locally compact groups

Chademan, A.; Mirzapour, F.

doi:10.1090/S0002-9939-99-04907-2

Midconvex functions in locally compact groups
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by A. Chademan and F. Mirzapour PDF

Proc. Amer. Math. Soc. 127 (1999), 2961-2968 Request permission

Abstract:

The theorems of Bernstein-Doetsch, and Ostrowski, concerning the continuity of midconvex functions are extended to open subsets of locally compact and root-approximable topological groups.

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