What are these functions called?

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The functions satisfying the inequality |f(x+y)| ≤ |f(x)| + |f(y)| are known as subadditive functions. This property indicates that the function's value at the sum of two inputs is less than or equal to the sum of its values at each input individually. Subadditive functions are significant in various mathematical contexts, including optimization and analysis. The discussion emphasizes the importance of recognizing and naming such functions in mathematical literature. Understanding subadditivity can aid in exploring further properties and applications of these functions.
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Is there any name for the functions for which |f(x+y)| \leq |f(x)| + |f(y)|?
 
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r4nd0m said:
Is there any name for the functions for which |f(x+y)| \leq |f(x)| + |f(y)|?

Look up "subadditive".
 

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