Results 11 to 20 of about 548 (63)
Some inequalities on generalized entropies [PDF]
, 2011 We give several inequalities on generalized entropies involving Tsallis entropies, using some inequalities obtained by improvements of Young's inequality.
A El-Barakaty +43 more
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International Journal of Mathematics and Mathematical Sciences, Volume 9, Issue 3, Page 545-550, 1986., 1986 In this series, this paper is devoted to the study of a functional equation connected with the characterization of weighted entropy and weighted entropy of degree β. Here, we find the general solution of the functional equation (2) on an open domain, without using 0‐probability and 1‐probability.
Pl. Kannappan, P. K. Sahoo
wiley +1 more source
Remainder Terms for Some Quantum Entropy Inequalities
, 2014 We consider three von Neumann entropy inequalities: subadditivity; Pinsker's inequality for relative entropy; and the monotonicity of relative entropy.
Carlen, Eric A., Lieb, Elliott H.
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Variational representations related to Tsallis relative entropy
, 2019 We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy.
Hansen, Frank, Shi, Guanghua
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Quantum Uncertainty Based on Metric Adjusted Skew Information
, 2018 Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures ...
Cai, Liang
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A conditional Entropy Power Inequality for dependent variables
, 2001 We provide a condition under which a version of Shannon's Entropy Power Inequality will hold for dependent variables.
Johnson, Oliver
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Scientific AfricanExtropy has recently become a focal point of study as a measure of uncertainty in probability distributions and serves as the dual complement to entropy.
Amal S. Hassan +3 more
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, 2010 We give a new proof of the theorems on the maximum entropy principle in Tsallis statistics. That is, we show that the $q$-canonical distribution attains the maximum value of the Tsallis entropy, subject to the constraint on the $q$-expectation value and ...
Johnson O., Shigeru Furuichi, Tsallis C.
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New Jensen's bounds for HA-convex mappings with applications to Shannon entropy
Demonstratio MathematicaThe aim of this article is to establish some new extensions and variants of Jensen’s discrete and Simic-type inequalities for HA-convex and uniformly HA-convex functions.
Sayyari Yamin +4 more
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On Hidden Markov Processes with Infinite Excess Entropy
, 2012 We investigate stationary hidden Markov processes for which mutual information between the past and the future is infinite. It is assumed that the number of observable states is finite and the number of hidden states is countably infinite.
Dębowski, Łukasz
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