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arXiv · 1201.4032

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

Kazimierz Nikodem·Teresa Rajba·Szymon Wasowicz
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Abstract

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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Kazimierz Nikodem, Teresa Rajba, Szymon Wasowicz. 2012-01-19. On the classes of higher-order Jensen-convex functions and Wright-convex functions. https://arxiv.org/abs/1201.4032

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