A subadditive function is a function 
satisfying
whenever 
,
,
and 
belong to its domain.
A convex function that is also a homogeneous function of degree 1 is subadditive. The McLeod
conjecture concerns subadditivity of ratios of complete
homogeneous symmetric polynomials (Sra 2026).
See also
Convex Function,
Homogeneous
Function,
McLeod Conjecture
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References
Sra, S. "A Proof of McLeod's 1959 Conjecture on Complete
Homogeneous Symmetric Ratios." 5 Oct 2026. https://arxiv.org/abs/2610.07302.
Cite this as:
Weisstein, Eric W. "Subadditive Function."
From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SubadditiveFunction.html
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