H ( λ p 1 + ( 1 − λ ) p 2 ) ≥ λ H ( p 1 ) + ( 1 − λ ) H ( p 2 ) {\displaystyle \mathrm {H} (\lambda p_{1}+(1-\lambda )p_{2})\geq \lambda \mathrm {H} (p_{1})+(1-\lambda )\mathrm {H} (p_{2})} for all probability mass functions p 1 , p 2 {\displaystyle p_{1},p_{2}} and 0 ≤ λ ≤ 1 {\displaystyle 0\leq \lambda \leq 1} .[1]:32 Accordingly, the negative entropy (negentropy) function is convex, and its convex conjugate is LogSumExp.