  We investigate the inclusive and jet production rates of $b-$quarks and also
the $J/\psi-$meson production at the LHC in the framework of
$k_T$-factorization QCD approach. Our study is based on the off-shell partonic
QCD subprocesses. The unintegrated gluon densities in a proton are determined
using the Kimber-Martin-Ryskin (KMR) prescription as well as CCFM evolution
equation. Our predictions are compared with the recent experimental data taken
by the ATLAS, CMS and LHCb collaborations.
