INTERNATIONAL JOURNAL OF MODERN PHYSICS A, cilt.36, sa.6, 2021 (SCI-Expanded)
In this paper, we employ a new form of the extended uncertainty principle to investigate the thermal properties of the Schwarzschild and Reissner-Nordstrom. After we construct the formalism, we obtain the mass-temperature function for the Schwarzschild black hole. We follow a heuristic method to derive the entropy function after we obtained the heat capacity function. Then, we derive the mass-temperature and mass-charge-temperature functions of the Reissner-Nordstrom black hole in the new formalism. After we obtain the heat capacity and entropy functions, we present a comprehensive and comparative analysis of all these functions. We find that the deformation parameter changes drastically some of the thermodynamic function characteristics.