  Thermodynamic uncertainty relations (TURs) are general lower bounds on the
size of fluctutations of dynamical observables. They have important
consequences, one being that the precision of estimation of a current is
limited by the amount of entropy production. Here we prove the existence of
general upper bounds on the size of fluctuations of any linear combination of
fluxes (including all time-integrated currents or dynamical activities) for
continuous-time Markov chains. We obtain these general relations by means of
concentration bound techniques. These ``inverse TURs'' are valid for all times
and not only in the long time limit. We illustrate our analytical results with
a simple model, and discuss wider implications of these new relations.
