The Quarterly Journal of Mathematics 1953 4(1):253; doi:10.1093/qmath/4.1.253
© 1953 by Oxford University Press
THE CHARACTERIZATION OF GENERALIZED CONVEX FUNCTIONS
F. F. BONSALL
Newcastle
The assertion of Theorem 3 Corollary (ii), repeated in Theorem 4, that f has a second derivative p.p. is faLse. In fact Corollary (ii) does not follow from Corollary (i), since the coi.intable set where the first derivative does not exist may have a derived set with positive measure. This error does not affect any other result in the paper.

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