Abstract The effect of the generalized uncertainty principle (GUP) on nonextensive thermodynamics applied to black holes, as well sparsity radiation at different temperatures associated with each entropy, is investigated. We examine Rényi, Tsallis–Cirto, Kaniadakis, Sharma Mittal, and Barrow entropies, temperatures, heat capacities show that, in case, due GUP corrections, temperature entropy ha...