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Research Article

On log-sum inequalities

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Pages 812-827 | Received 01 Jun 2022, Accepted 30 Dec 2022, Published online: 09 Jan 2023

References

  • Cover TM, Thomas JA. Elements of information theory. New Delhi: John Wiley & Sons; 1999.
  • Jensen JLWV, et al. Sur les fonctions convexes et les inégalités entre les valeurs moyennes. Acta Math. 1906;30:175–193.
  • Niculescu C, Persson LE. Convex functions and their applications. New York: Springer; 2006.
  • Csiszár I, Shields PC, et al. Information theory and statistics: a tutorial. Found Trends Commun Inf Theory. 2004;1(4):417–528.
  • Kac V, Cheung P. Quantum calculus. Berlin: Springer Science & Business Media; 2001.
  • Bebiano N, Providência Jr J, Lemos R. Matrix inequalities in statistical mechanics. Linear Algebra Appl. 2004;376(1):265–273.
  • Furuichi S, Yanagi K, Kuriyama K. Fundamental properties of Tsallis relative entropy. J Math Phys. 2004;45(12):4868–4877.
  • Wilde MM. Quantum information theory. Cambridge: Cambridge University Press; 2013.
  • Zhan X. Matrix inequalities. Berlin: Springer; 2002.
  • Bhatia R. Matrix analysis. Vol. 169. Berlin: Springer Science & Business Media; 2013.
  • Hansen F, Pedersen GK. Jensen's inequality for operators and löwner's theorem. Math Ann. 1982;258(3):229–241.
  • Hansen F, Pedersen GK. Jensen's operator inequality. Bull London Math Soc. 2003;35(4):553–564.
  • Dirac PAM. A new notation for quantum mechanics. Math Proc Cambridge Philos Soc. 1939;35(5):416–418.
  • Kubo F, Ando T. Means of positive linear operators. Math Ann. 1980;246:205–224.
  • Dragomir SS. Operator quasilinearity of some functionals associated with Davis–Choi–Jensen's inequality for positive maps. Bull Aust Math Soc. 2017;95:322–332.
  • Nikoufar I. Some properties of the Tsallis relative operator φ–entropy. J Math Phys Anal Geom. 2021;17(2):216–232.
  • Gümüş IH, Moradi HR, Sababheh M. More accurate operator means inequalities. J Math Anal Appl. 2018;465(1):267–280.
  • Furuichi S, Moradi HR, Sababheh M. New sharp inequalities for operator means. Linear Multilinear A. 2019;67(8):1567–1578.
  • Furuta T. Parametric extensions of Shannon inequality and its reverse one in Hilbert space operators. Linear Algebra Appl. 2004;381:219–235.
  • Hansen F. An operator inequality. Math Ann. 1980;246(3):249–250.

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