Generalized Shannon inequalities based on Tsallis relative operator entropy

From MaRDI portal
Publication:1765890

DOI10.1016/j.laa.2004.06.025zbMath1059.47018arXivmath/0406137OpenAlexW2056929011MaRDI QIDQ1765890

Ken Kuriyama, Shigeru Furuichi, Kenjiro Yanagi

Publication date: 23 February 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0406137



Related Items

Reverses of Ando's and Hölder-McCarty's inequalities, Relative Operator Entropy, ON SOME TSALLIS RELATIVE OPERATOR ENTROPY PROPERTIES RELATED TO HELLINGER METRICS, Two-parameter fractional Tsallis information dimensions of complex networks, Relative operator entropies and Tsallis relative operator entropies in JB-algebras, The \(n\)-th relative operator entropies and the \(n\)-th operator divergences, Bounds of some relative operator entropies in a general form, Path of quasi-means as a geodesic, Some operator inequalities via convexity, Some bounds for the generalized Tsallis relative operator entropy, On a new generalized Tsallis relative operator entropy, Operator inequalities related to Young's inequality, Operator valued inequalities based on Young's inequality, A complementary inequality for the information monotonicity of the operator perspective and applications, Refined estimations for some types of entropies and divergences, Operator entropy and fidelity associated with the geometric mean, Reverse of Fujii-Seo type log-majorization and its application to the Tsallis relative entropies, Quantifying quantum coherence based on the Tsallis relative operator entropy, Unnamed Item, CONVEXITY OF PARAMETER EXTENSIONS OF SOME RELATIVE OPERATOR ENTROPIES WITH A PERSPECTIVE APPROACH, Generalizations of operator Shannon inequality based on Tsallis and Rényi relative entropies, A complementary inequality to the information monotonicity for Tsallis relative operator entropy, Choi-Davis-Jensen's inequality without convexity, Unnamed Item, The \(n\)-th residual relative operator entropy \({\mathfrak{R}}^{[n}_{x,y}(A|B)\)], On operator inequalities of some relative operator entropies, Matrix trace inequalities on Tsallis relative entropy of negative order, Unnamed Item, Inequalities for relative operator entropies and operator means, Some refinements of classical inequalities, Fundamental properties of Tsallis relative entropy, Matrix trace inequalities related to the Tsallis relative entropies of real order, Reverse inequalities involving two relative operator entropies and two relative entropies, New refinements of some inequalities involving relative operator entropy, Some remarks on Tsallis relative operator entropy, Equality cases of inequalities involving generalized Csiszár and Tsallis type f-divergences, The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results, On a Mercer like inequality involving generalized Csiszár f-divergences, Sharp bounds for the Tsallis relative operator entropy, A note on operator inequalities of Tsallis relative operator entropy, Unnamed Item, Some estimations for the generalized relative operator entropy, Two reverse inequalities associated with Tsallis relative operator entropy via generalized Kantorovich constant and their applications, Inequalities for the generalized Tsallis relative operator entropy, Shannon like inequalities for \(f\)-connections of positive linear maps and positive operators, More results on weighted means



Cites Work