Finite nuclear size correction to vacuum polarization in hydrogen-like ions

The finite nuclear size corrections to the Dirac binding energy of an electron and to the vacuum polarization in hydrogen-like ions are considered. These corrections were calculated for the 1s _1/2, 2s _1/2, 2p _1/2, and 2p _3/2 states in a wide range of the nuclear charge Z = 1–100. The results obtained are compared with the available analytical data.