On the classes of higher-order Jensen-convex functions and Wright-convex functions
classification
🧮 math.CA
math.PR
keywords
functionsclassescomparedconnecteddevelopedfirsthigher-orderjensen-convex
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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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