On the classes of higher-order Jensen-convex functions and Wright-convex functions

Details On the classes of higher-order Jensen-convex functions and Wright-convex functions On the classes of higher-order Jensen-convex functions and Wright-convex functions

2012-01-19

arxiv.org/abs/1201.4032v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The classes of n-Wright-convex functions and n-Jensen-convex functions are
compared with each other. It is shown that for any odd natural number $n$ the
first one is the proper subclass of the second one. To reach this aim new tools
connected with measure theory are developed.

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