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Global bounds for Jensen's functional were investigated in [7].
For details on global bounds for generalized Jensen's inequality, see [4].
We give the best possible global bounds for a form of discrete Jensen's inequality.
Existence of these global bounds had been an unresolved problem even in the Euclidean case.
In this paper a new approach for computing global bounds on optimal solutions of mixed-integer nonlinear programs is presented.
It works by dividing the domain of one of the variables in each bilinear term into a given number of partitions, while considering global bounds for the other.
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Fig. 12 Statistics of the k-ambiguity trees for 10 IDs and a varying number of sensor motes N. Hence, additional run-time reductions could be achieved by applying tree-node-specific bound functions rather than a global bound function.
Given single k, then any k-plex community has global bounded size.
Therefore, (Vert nabla v Vert _{L^{p}(Omega )}) is global bounded.
Thus, ((u,v,w)) is a global bounded classical solution to system (1.2). □.
We now turn to the existence of global bounded classical solutions.
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