Last year, Chung and Hassanabadi proposed a higher order general uncertainty principle (GUP$^ast$) that predicts a minimal length as well as possesses a upper bound momentum limit. In this article, we have discussed an ideal gas system and its thermal properties using that deformed canonical algebra introduced by them. Moreover, we examined blackbody radiation spectrum and the cosmological constant in the presence of the GUP$^ast$. After a comparison with the existing literature, we concluded that the given formalism of Chung and Hassanabadi yields more accurate results.
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