  In this paper, we consider higher order correction of the entropy and study
the thermodynamical properties of recently proposed Schwarzschild-Beltrami-de
Sitter black hole, which is indeed an exact solution of Einstein equation with
a positive cosmological constant. By using the corrected entropy and Hawking
temperature we extract some thermodynamical quantities like Gibbs and Helmholtz
free energies and heat capacity. We also investigate the first and second laws
of thermodynamics. We find that presence of higher order corrections, which
come from thermal fluctuations, may remove some instabilities of the black
hole. Also unstable to stable phase transition is possible in presence of the
first and second order corrections.
