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We show how to use properties of the quantum conditional mutual informationto obtain continuity bounds for information characteristics of quantum channelsdepending on their input dimension.  First we prove tight estimates for variation of the output Holevo quantitywith respect to simultaneous variations of a channel and of an input ensemble.  Then we obtain tight continuity bounds for output conditional mutualinformation for a single channel and for $n$ copies of a channel.  As a result tight and close-to-tight continuity bounds for basic capacitiesof quantum channels depending on the input dimension are obtained. Theycomplement the Leung-Smith continuity bounds depending on the output dimension.

Continuity bounds for information characteristics of quantum channels depending on input dimension