Elastic $pp$ and $\bar pp$ scattering in the models of unitarized pomeron

Elastic scattering amplitudes with pomeron singularity by construction meeting the main unitarity bounds valid at high energy are considered. Restrictions for a form of pomeron singularity are stressed. The models of double and triple (at t=0) pomeron pole with additional terms important for low energies are compared with all existing experimental data on pp and anti-pp total and differential cross sections at \sqrt{s}> 5 GeV and |t|< 6 GeV^2. Good agreement with data is obtained for both models, however the dipole pomeron model gives a slightly better description of the data. Predictions made for the LHC energy demonstrate a big enough difference of the models at -t~ 0.4 GeV^2. Such a difference, apparently allows to choose a more reasonable model after TOTEM measurements