What are these functions called?

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SUMMARY

The functions that satisfy the condition |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 the function's values at each input. Subadditive functions are significant in various mathematical contexts, particularly in optimization and economic theory.

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  • Understanding of mathematical functions and their properties
  • Familiarity with concepts of inequalities in mathematics
  • Basic knowledge of optimization techniques
  • Awareness of economic theory related to utility functions
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Mathematicians, economists, optimization specialists, and students studying functional analysis or economic theory will benefit from this discussion.

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Is there any name for the functions for which [tex]|f(x+y)| \leq |f(x)| + |f(y)|[/tex]?
 
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r4nd0m said:
Is there any name for the functions for which [tex]|f(x+y)| \leq |f(x)| + |f(y)|[/tex]?

Look up "subadditive".
 

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