The notion of diversity spans across disciplines, arising in a wide range of natural and social sciences. As is well-acknowledged, essential defining characteristics of diversity include the number of categories involved, evenness of the element distribution among categories, and dissimilarity between categories. In addition, there are two intrinsic factors that also influence the quantificatio...

We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young’s inequality. We also give a generalized Han’s inequality.

The purpose of this short paper dedicated to the 60th anniversary of Prof.Constantin Tsallis is to show how the use of mathematical tools and physical concepts introduced by Burr, L˙ evy and Tsallis open a new line of analysis of the old problem of non-Debye decay and universality of relaxation. We also show how a finite characteristic time scale can be expressed in terms of a q-expectation usi...

Abstract Tsallis entropy is a generalization of the Boltzmann–Gibbs in statistical theory which uses parameter $$\delta $$ δ to measure deviation from standard scenario quantitatively. Using concepts and future event horizon, we construct new holographic dark energy model. The parameters c will be used charac...