  The generalized and extended uncertainty principles affect the Newtonian
gravity and also the geometry of the thermodynamic phase space. Under the
influence of the latter, the energy-temperature relation of ideal gas may
change. Moreover, it seems that the Newtonian gravity is modified in the
framework of the R\'{e}nyi entropy formalism motivated by both the long-range
nature of gravity, and the extended uncertainty principle. Here, the
consequences of employing the generalized and extended uncertainty principles,
instead of the Heisenberg uncertainty principle, on the Jeans mass are studied.
The results of working in the R\'{e}nyi entropy formalism are also addressed.
It is shown that unlike the extended uncertainty principle and the R\'{e}nyi
entropy formalism which lead to the same increase in the Jeans mass, the
generalized uncertainty principle can decrease it. The latter means that a
cloud with mass smaller than the standard Jeans mass, obtained in the framework
of the Newtonian gravity, may also undergo the gravitational collapse process.
