[1] S. Abe and Y. Okamoto, Nonextensive statistical mechanics and its applications, Lecture Notes Physics, Springer-Verlage, Berlin, 2001.
[2] R. Badii and A. Politi, Complexity. Hierarchical structures and scaling in physics, Cambridge University Press, 1997.
[3] P. Castiglione, M. Falcioni, A. Lesne and A. Vulpiani, Chaos and coarse-graining in statistical mechanics, Cambridge University Press, 2008.
[4] T. M. Cover and J. A. Thomas, Elements of information theory, 2nd edition, Wiley, New York, 2006.
[5] J. I. Fujii, Operator means and the relative operator entropy, Oper. Theory Adv. Appl., 59 (1992) 161–172.
[6] J. I. Fujii, M. Fujii and Y. Seo, An extension of Kubo-Ando theory: Solidarities, Math. Japonica, 35 (1990) 387–396.
[7] J. I. Fujii and E. Kamei, Uhlmann’s interpolational method for operator means, Math. Japonica, 34 (1989) 541–547.
[8] J. I. Fujii and Y. Seo, Tsallis relative operator entropy with negative parameters, Adv. Oper. Theory, 1 (2016) 219–235.
[9] S. Furuichi, K. Yanagi and K. Kuriyama, A note on operator inequalities of Tsallis relative operator entropy, Linear Algebra Appl., 407 (2005) 19–31.
[10] T. Furuta, Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators, Linear Algebra Appl., 381 (2004) 219–235.
[11] T. Furuta, Reverse inequalities involving two relative operator entropies and two relative entropies, Linear Algebra Appl., 403 (2005) 24–30.
[12] T. Furuta, J. Mićić Hot, J. E. Pečarić and Y. Seo, Mond-Pečarić method in operator inequalities, Element, Zagreb, 2005.
[13] R. M. Gray, Entropy and information theory, Springer, New York, 1990, Available at http://ee.stanford. edu/ gray/it.html.
[14] J. Honerkamp, Statistical physics, Springer, Berlin, 1998.
[15] E. T. Jaynes, Information theory and statistical mechanics Part I, Phys. Rev., 106 (1957) 620–630. Part II, Phys. Rev., 108 171–190.
[16] E. T. Jaynes, The minimum entropy production principle, Ann. Rev. Phys. Chem., 31 (1980) 579–601.
[17] E. T. Jaynes, On the rationale of maximum entropy methods, Proc. IEEE, 70 (1982) 939–952.
[18] G. A. Jones and J. M. Jones, Information and coding theory, Springer-Verlag, 2000.
[19] S. Kullback and R. A. Leibler, On information and sufficiency, Ann. Math. Statist., 22 (1951) 79–86.
[20] A. Lesne, J. L. Blanc and L. Pezard, Entropy estimation of very short symbolic sequences, Phys. Rev. E., 79 (2009) 046208.
[21] E. H. Lieb and M. B. Ruskai, Proof of the strong subadditivity of quantum-mechanical entropy, J. Mathematical Phys., 14 (1973) 1938–1941.
[22] T. Maszczyk and W. Duch, Comparison of Shannon, Renyi and Tsallis entropy used in decision trees, ICAISC, LNAI, 5097 (2008) 643–651.
[23] F. Mirzapour, M. S. Moslehian and A. Morassaei, Operator Bellman type inequalities, Quaest. Math., 37 (2014) 9–17.
[24] M. S. Moslehian and M. Kian, Non-commutative f -divergence functional, Math. Nachr., 286 (2013) 1514–1529.
[25] M. S. Moslehian, F. Mirzapour and A. Morassaei, Operator entropy inequalities, Colloq. Math., 37 (2014) 159–168.
[26] J. Rooin and A. Morassaei, Some refinements of relative information inequality, Creative Math. & Inf., 16 (2007) 95–98.
[27] C. Shannon, A mathematical theory of communication, Bell System Tech. J., 27 (1948) 379–423.
[28] C. Tsallis, Possible generalization of Boltzman-Gibbs statistics, J. Statist. Phys., 52 (1988) 479–487.
[29] H. Umegaki, Condition expectation in an operator algebra IV, Kodai Math. Sem. Rep., 14 (1962) 59–85.
[30] K. Yanagi, K. Kuriyama and S. Furuichi, Generalized Shannon inequalities based on Tsallis relative operator entropy, Linear
[31] S. H. P. Masiha, Probability information and coding theory, K. N. Toosi University Press, 2013.
[32] D. S. Jones, Elementary Information theory, N. R. Arghami and M. A. Poorabdollah nejad, 1998.
)