Hawking effect with generalized uncertainty principle and modified dispersion relation in de Sitter-Schwarzschild black hole

Although the tunneling approach is well established for black hole radiation, much works have been done to support the extension of this approach to more general settings. In This letter the Parikh-Kraus-Wilczek tunneling proposal of black hole tunneling radiation is considered. The de Sitter-Schwarzschild black hole thermodynamics is studied, based on both, the generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek calculation of the black hole tunneling probability receive new corrections. The results of this two alternative approaches are identical if one uses the suitable expansion coefficients.