$ sudo apt-get update
$ sudo apt-get install libdvbpsi8 

libdvbpsi8 is installed in your system.

Make ensure the libdvbpsi8 package were installed using the commands given below,

$ sudo dpkg-query -l | grep libdvbpsi8 *

You will get with libdvbpsi8 package name, version, architecture and description in a table

libdvbpsi8 package basic information: