[[1] Ando T., Matrix Young inequalities, Oper. Theory Adv. Appl. 75 (1995), 33–38.]Search in Google Scholar
[[2] Bellman R., Some inequalities for positive definite matrices, in: E.F. Beckenbach (Ed.), General Inequalities 2, Proceedings of the 2nd International Conference on General Inequalities, Birkhäuser, Basel, 1980, pp. 89–90.10.1007/978-3-0348-6324-7_8]Search in Google Scholar
[[3] Belmega E.V., Jungers M., Lasaulce S., A generalization of a trace inequality for positive definite matrices, Aust. J. Math. Anal. Appl. 7 (2010), no. 2, Art. 26, 5 pp.]Search in Google Scholar
[[4] Carlen E.A., Trace inequalities and quantum entropy: an introductory course, in: Entropy and the quantum, Contemp. Math. 529, Amer. Math. Soc., Providence, RI, 2010, pp. 73–140.10.1090/conm/529/10428]Search in Google Scholar
[[5] Chang D., A matrix trace inequality for products of Hermitian matrices, J. Math. Anal. Appl. 237 (1999), 721–725.10.1006/jmaa.1999.6433]Search in Google Scholar
[[6] Chen L., Wong C., Inequalities for singular values and traces, Linear Algebra Appl. 171 (1992), 109–120.10.1016/0024-3795(92)90253-7]Search in Google Scholar
[[7] Coop I.D., On matrix trace inequalities and related topics for products of Hermitian matrix, J. Math. Anal. Appl. 188 (1994), 999–1001.10.1006/jmaa.1994.1475]Search in Google Scholar
[[8] Dragomir S.S., A converse result for Jensen’s discrete inequality via Gruss’ inequality and applications in information theory, An. Univ. Oradea Fasc. Mat. 7 (1999/2000), 178–189.]Search in Google Scholar
[[9] Dragomir S.S., On a reverse of Jessen’s inequality for isotonic linear functionals, J. Ineqal. Pure Appl. Math. 2 (2001), No. 3, Art. 36.]Search in Google Scholar
[[10] Dragomir S.S., A Grüss type inequality for isotonic linear functionals and applications, Demonstratio Math. 36 (2003), no. 3, 551–562. Preprint RGMIA Res. Rep. Coll. 5 (2002), Suplement, Art. 12. Available at http://rgmia.org/v5(E).php.10.1515/dema-2003-0308]Search in Google Scholar
[[11] Dragomir S.S., Bounds for the normalized Jensen functional, Bull. Austral. Math. Soc. 74 (2006), no. 3, 471–476.]Search in Google Scholar
[[12] Dragomir S.S., Bounds for the deviation of a function from the chord generated by its extremities, Bull. Aust. Math. Soc. 78 (2008), no. 2, 225–248.]Search in Google Scholar
[[13] Dragomir S.S., Grüss’ type inequalities for functions of selfadjoint operators in Hilbert spaces. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 11. Available at http://rgmia.org/v11(E).php].]Search in Google Scholar
[[14] Dragomir S.S., Some inequalities for convex functions of selfadjoint operators in Hilbert spaces, Filomat 23 (2009), no. 3, 81–92. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 10.]Search in Google Scholar
[[15] Dragomir S.S., Some Jensen’s type inequalities for twice differentiable functions of selfadjoint operators in Hilbert spaces, Filomat 23 (2009), no. 3, 211–222. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 13.]Search in Google Scholar
[[16] Dragomir S.S., Some new Grüss’ type inequalities for functions of selfadjoint operators in Hilbert spaces, Sarajevo J. Math. 6(18) (2010), no. 1, 89–107. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 12. Available at http://rgmia.org/v11(E).php.]Search in Google Scholar
[[17] Dragomir S.S., New bounds for the Čebyšev functional of two functions of selfadjoint operators in Hilbert spaces, Filomat 24 (2010), no. 2, 27–39.]Search in Google Scholar
[[18] Dragomir S.S., Some Jensen’s type inequalities for log-convex functions of selfadjoint operators in Hilbert spaces, Bull. Malays. Math. Sci. Soc. 34 (2011), no. 3, 445–454. Preprint RGMIA Res. Rep. Coll. 13 (2010), Suplement, Art. 2.]Search in Google Scholar
[[19] Dragomir S.S., Some reverses of the Jensen inequality for functions of selfadjoint operators in Hilbert spaces, J. Ineq. & Appl. (2010), Art. ID 496821. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 15. Available at http://rgmia.org/v11(E).php.]Search in Google Scholar
[[20] Dragomir S.S., Some Slater’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces, Rev. Un. Mat. Argentina 52(2011), no. 1, 109–120. Preprint RGMIA Res. Rep. Coll. 11(e) (2008), Art. 7.]Search in Google Scholar
[[21] Dragomir S.S., Hermite-Hadamard’s type inequalities for operator convex functions, Appl. Math. Comp. 218 (2011), 766–772. Preprint RGMIA Res. Rep. Coll. 13 (2010), no. 1, Art. 7.10.1016/j.amc.2011.01.056]Search in Google Scholar
[[22] Dragomir S.S., Hermite-Hadamard’s type inequalities for convex functions of selfadjoint operators in Hilbert spaces, Preprint RGMIA Res. Rep. Coll. 13 (2010), no. 2, Art 1.]Search in Google Scholar
[[23] Dragomir S.S., New Jensen’s type inequalities for differentiable log-convex functions of selfadjoint operators in Hilbert spaces, Sarajevo J. Math. 19 (2011), no. 1, 67–80. Preprint RGMIA Res. Rep. Coll. 13 (2010), Suplement, Art. 2.]Search in Google Scholar
[[24] Dragomir S.S., Operator Inequalities of the Jensen, Čebyšev and Grüss Type, Springer Briefs in Mathematics, Springer, New York, 2012.10.1007/978-1-4614-1521-3]Search in Google Scholar
[[25] Dragomir S.S., Operator Inequalities of Ostrowski and Trapezoidal Type, Springer Briefs in Mathematics, Springer, New York, 2012.10.1007/978-1-4614-1779-8]Search in Google Scholar
[[26] Dragomir S.S., Some trace inequalities for convex functions of selfadjoint operators in Hilbert spaces. Preprint RGMIA Res. Rep. Coll. 17 (2014), Art. 115. Available at http://rgmia.org/papers/v17/v17a115.pdf.]Search in Google Scholar
[[27] Dragomir S.S., Jensen’s type trace inequalities for convex functions of selfadjoint operators in Hilbert spaces. Preprint RGMIA Res. Rep. Coll. 17 (2014), Art. 116. Available at http://rgmia.org/papers/v17/v17a116.pdf.]Search in Google Scholar
[[28] Dragomir S.S., Ionescu N.M., Some converse of Jensen’s inequality and applications, Rev. Anal. Numér. Théor. Approx. 23 (1994), no. 1, 71–78.]Search in Google Scholar
[[29] Furuichi S., Lin M., Refinements of the trace inequality of Belmega, Lasaulce and Debbah, Aust. J. Math. Anal. Appl. 7 (2010), no. 2, Art. 23, 4 pp.]Search in Google Scholar
[[30] Furuta T., Mićić Hot J., Pečarić J., Seo Y., Mond-Pečarić Method in Operator Inequalities. Inequalities for Bounded Selfadjoint Operators on a Hilbert Space, Element, Zagreb, 2005.]Search in Google Scholar
[[31] Helmberg G., Introduction to Spectral Theory in Hilbert Space, John Wiley, New York, 1969.]Search in Google Scholar
[[32] Lee H.D., On some matrix inequalities, Korean J. Math. 16 (2008), no. 4, 565–571.]Search in Google Scholar
[[33] Liu L., A trace class operator inequality, J. Math. Anal. Appl. 328 (2007), 1484–1486.10.1016/j.jmaa.2006.04.092]Search in Google Scholar
[[34] Manjegani S., Hölder and Young inequalities for the trace of operators, Positivity 11 (2007), 239–250.10.1007/s11117-006-2054-6]Search in Google Scholar
[[35] Neudecker H., A matrix trace inequality, J. Math. Anal. Appl. 166 (1992), 302–303.10.1016/0022-247X(92)90344-D]Search in Google Scholar
[[36] Shebrawi K., Albadawi H., Operator norm inequalities of Minkowski type, J. Inequal. Pure Appl. Math. 9 (2008), Art. 26, 1–10.]Search in Google Scholar
[[37] Shebrawi K., Albadawi H., Trace inequalities for matrices, Bull. Aust. Math. Soc. 87 (2013), 139–148.10.1017/S0004972712000627]Search in Google Scholar
[[38] Simon B., Trace Ideals and Their Applications, Cambridge University Press, Cambridge, 1979.]Search in Google Scholar
[[39] Matković A., Pečarić J., Perić I., A variant of Jensen’s inequality of Mercer’s type for operators with applications, Linear Algebra Appl. 418 (2006), no. 2-3, 551–564.]Search in Google Scholar
[[40] McCarthy C.A., cp; Israel J. Math. 5 (1967), 249–271.10.1007/BF02771613]Search in Google Scholar
[[41] Mićić J., Seo Y., Takahasi S.-E., Tominaga M., Inequalities of Furuta and Mond-Pečarić, Math. Ineq. Appl. 2 (1999), 83–111.]Search in Google Scholar
[[42] Mond B., Pečarić J., Convex inequalities in Hilbert space, Houston J. Math. 19 (1993), 405–420.]Search in Google Scholar
[[43] Mond B., Pečarić J., On some operator inequalities, Indian J. Math. 35 (1993), 221–232.]Search in Google Scholar
[[44] B. Mond and J. Pečarić, Classical inequalities for matrix functions, Utilitas Math. 46 (1994), 155–166.]Search in Google Scholar
[[45] Riesz F., Sz-Nagy B., Functional Analysis, Dover Publications, New York, 1990.]Search in Google Scholar
[[46] Simić S., On a global upper bound for Jensen’s inequality, J. Math. Anal. Appl. 343 (2008), 414–419.10.1016/j.jmaa.2008.01.060]Search in Google Scholar
[[47] Ulukök Z., Türkmen R., On some matrix trace inequalities, J. Inequal. Appl. 2010, Art. ID 201486, 8 pp.10.1155/2010/201486]Search in Google Scholar
[[48] Yang X., A matrix trace inequality, J. Math. Anal. Appl. 250 (2000), 372–374.10.1006/jmaa.2000.7068]Search in Google Scholar
[[49] Yang X.M., Yang X.Q., Teo K.L., A matrix trace inequality, J. Math. Anal. Appl. 263 (2001), 327–331.10.1006/jmaa.2001.7613]Search in Google Scholar
[[50] Yang Y., A matrix trace inequality, J. Math. Anal. Appl. 133 (1988), 573–574.10.1016/0022-247X(88)90423-4]Search in Google Scholar