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Subadditive Functions

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Abstract

The Jensen inequality (5.3.1) is not the natural counterpart of the Cauchy equation (5.2.1). The natural counterpart of the Cauchy equation would be the inequality

$$ f(x + y) \leqslant f(x) + f(y).$$
((16.1.1))

.

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© 2009 Birkhäuser Verlag AG

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(2009). Subadditive Functions. In: Gilányi, A. (eds) An Introduction to the Theory of Functional Equations and Inequalities. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8749-5_16

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