New inequalities and uncertainty relations on linear canonical transform revisit
EURASIP Journal on Advances in Signal Processing
Information measures of hydrogenic systems, Laguerre polynomials and spherical harmonics
Journal of Computational and Applied Mathematics - Special issue: Proceedings of the conference on orthogonal functions and related topics held in honor of Olav Njåstad
Cramer-Rao information plane of orthogonal hypergeometric polynomials
Journal of Computational and Applied Mathematics
Automation and Remote Control
Information-geometric approach to inferring causal directions
Artificial Intelligence
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The role of inequalities in information theory is reviewed, and the relationship of these inequalities to inequalities in other branches of mathematics is developed. The simple inequalities for differential entropy are applied to the standard multivariate normal to furnish new and simpler proofs of the major determinant inequalities in classical mathematics. The authors discuss differential entropy inequalities for random subsets of samples. These inequalities when specialized to multivariate normal variables provide the determinant inequalities that are presented. The authors focus on the entropy power inequality (including the related Brunn-Minkowski, Young's, and Fisher information inequalities) and address various uncertainty principles and their interrelations