  We obtain continuity bounds for basic information characteristics of quantum
channels depending on their input dimension (if it is finite) and on the input
energy bound (if the input dimension is infinite). We pay a special attention
to the case of a multi-mode quantum oscillator as an input system.
  First we prove continuity bounds for the output conditional mutual
information for a single channel and for $n$ copies of a channel.
  Then we obtain estimates for variation of the output Holevo quantity with
respect to simultaneous variations of a channel and of an input ensemble.
  As a result tight and close-to-tight continuity bounds for basic capacities
of quantum channels depending on the input dimension are obtained. They
complement the Leung-Smith continuity bounds depending on the output dimension.
  Finally, we obtain tight and close-to-tight continuity bounds for basic
capacities of infinite-dimensional energy-constrained channels with respect to
the energy-constrained Bures distance generating the strong convergence of
quantum channels.
