We say that is subadditive if and only if for any there holds (1.5).
Suppose that is a nonvanishing map which is subadditive cone integrable on each and such that for each,.
In the following, (gamma:[0,+infty)to[0,+isfty)) isubadditiveve, i.e. (gamma(x+y)leqgamma(x)+gamma y)), for each (x,yin [0,+infty)), a nondecreasing continuous map such that (gamma^{-1}({0})={0}), and let Γ consist of all such functions.
We begin this section by considering a family Ξ of functions ξ : [ 0, ∞ ) → [ 0, ∞ ) satisfying the following conditions: (i) ξ is continuous; (ii) ξ is nondecreasing on [ 0, ∞ ) ; (iii) ξ ( 0 ) = 0 and ξ ( t ) > 0 for all t ∈ ( 0, ∞ ) ; (iv) ξ is subadditive. . ξ is continuous; ξ is nondecreasing on [ 0, ∞ ) ; ξ ( 0 ) = 0 and ξ ( t ) > 0 for all t ∈ ( 0, ∞ ) ; ξ is subadditive.
Zhao et al. [14] found that the Hölder inequality for the pan-integral holds if the monotone measurer is subadditive.
The credibility measure is subadditive, that is, operatorname{Cr}{Acup B}leq operatorname{Cr}{A}+operatorname{Cr}{B} (8) for any events A and B. (Liu [21]).
The stimulus-locked ECoG component sums contrast approximately linearly across space; spatial summation in the asynchronous ECoG component is subadditive.
(iii) is subadditive; that is, (1.9).
Therefore, the process (Theta_{t}) is subadditive.
D ″ F + ( x 0, y 0, u, v ) is subadditive.
