In this work we have investigated the effects of three nongaussian entropies, namely, the modified Rényi entropy (MRE), the Sharma-Mittal entropy (SME) and the dual Kaniadakis entropy (DKE) in the investigation of the generalized second law (GSL) of thermodynamics violation. The GSL is an extension of the second law for black holes. Recently, it was concluded that a total entropy is the sum of the entropy enclosed by the apparent horizon plus the entropy of the horizon itself when the apparent horizon is described by the Barrow entropy. It was assumed that the universe is filled with matter and dark energy fluids. Here, the apparent horizon will be described by MRE, SME, and then by DKE proposals. Since GSL holds for usual entropy, but it is conditionally violated in the extended entropies, this implies that the parameter of these entropies should be constrained in small values in order to obey the GSL of thermodynamics. Hence, we have established conditions where the second law of thermodynamics can or cannot be obeyed considering these three statistical concepts just as it was made in Barrow's entropy. Considering the $\mathrm{\Lambda }CDM$ cosmology, we will notice that for MRE, SME and DKE, the GSL of thermodynamics is not obeyed for small redshift values.

在这项工作中，我们研究了三种非高斯熵，即修正的 Rényi 熵 (MRE)、Sharma-Mittal 熵 (SME) 和对偶 Kaniadakis 熵 (DKE) 在研究广义第二定律 (GSL) 中的影响违反热力学。GSL 是黑洞第二定律的扩展。最近，得出的结论是，当视界由巴罗熵描述时，总熵是视界所包围的熵加上视界本身的熵的总和。假设宇宙充满了物质和暗能量流体。在这里，视界将由 MRE、SME 和 DKE 提案描述。由于 GSL 对通常的熵成立，但在扩展熵中它有条件地违反，这意味着这些熵的参数应该被限制在较小的值内，以便遵守热力学的 GSL。因此，考虑到这三个统计概念，我们已经建立了可以或不能遵守热力学第二定律的条件，就像在巴罗熵中提出的那样。考虑到$\mathrm{\Lambda }CD米$ 在宇宙学中，我们会注意到，对于 MRE、SME 和 DKE，对于小的红移值，不遵守热力学的 GSL。