In this letter, using the non-extensive entropy of Tsallis, we study some properties of the Schwarzschild black holes (BHs), based on the loop quantum gravity (LQG), some novel characteristics and results of the Schwarzschild BH can be obtained in Mejrhit and Ennadifi (Phys Lett B 794:45–49, 2019). Here we find that these findings are strikingly identical to ones obtained by Hawking and Page in anti-de Sitter space within the original of the Boltzmann entropy formula. By using the semi-classical estimate analysis on the energy at this minimum $$M_{min}$$ M min , an approximate relationship between the q and $$\gamma $$ γ parameters of BHs can be found, ($$q\approx \frac{\sqrt{3}\gamma }{\pi \ln 2}+1$$ q ≈ 3 γ π ln 2 + 1 ), which is remarkable approaching to q-parameters of cosmic ray spectra and quarks coalescing to hadrons in high energy.