Nearly Additive Functions and Nearly Convex Functions


Under nearly additive and nearly convex functions we understand two modifications of additive functions and of convex functions: approximtely additive functions and approximtely convex functions, where the defining equation (5.2.1) resp. inequality (7.1.1) is satisfied only with some degree of accuracy, and almost additive functions and almost convex functions, where (5.2.1) resp. (5.3.1) is postulated only almost everywhere in the domain in question. (An interesting combination of both these conditions was considered by R. Ger [114].) Similar considerations will be carried out also for some other related classes of functions.


Convex Function Polynomial Function Additive Function Proper Ideal Invariant Ideal 
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© Birkhäuser Verlag AG 2009

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