Schur-Convexity on Generalized Information Entropy and Its Applications

摘要

The information entropy has general applications in different subjects, such as information theory, linear algebra, signal processing, dynamical systems, ergodic theory, probability and statistical. Then the study of inequality on the information entropy has important signification in theory. Schur-convexity and Schur-geometric convexity and Schur-harmonic convexity entropy are studied for the generalized information based on the well-known Schur's condition. As applications, some inequalities of the entropy are established by use of majorization.