Converses of Jensen's inequality for several operators

Authors

  • B. Mond Departament of Mathematics, La Trobe University, Bundoora, Australia
  • J. E. Pečarić Faculty of Textile Technolgoy, University of Zagreb, Croatia
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References

C. Davis, A Schwarz inequality for convex operator functions, Proc. Amer. Math. Soc., 8 (1957), 42-44, https://doi.org/10.1090/s0002-9939-1957-0084120-4

M.D. Choi, A Schwarz inequality for positive linear maps on C∗-algebras, Illinois J. Math., 18 (1974), 565-573, https://doi.org/10.1215/ijm/1256051007

T. Ando, Topics on linear inequalities, Lecture Notes, Sapporo, Japan, 1978.

D. Kanuma and M. Nakamura, Around Jensen's inequality, Math. Japonica, 25 (1980), 585-588, https://doi.org/10.1080/00107530.1980.10745640

B. Mond and J.E. Pečarić, Voncerses of Jensen's inequality for linear maps of operators, submitted for publication.

K.V. Bhagwat and R. Subramanian, Inequalities between means of positive operators, Math. Proc. Camb. Phil. Soc., 83 (1978), 393-401, https://doi.org/10.1017/s0305004100054670

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Published

1994-08-01

Issue

Vol. 23 No. 2 (1994)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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How to Cite

Mond, B., & Pečarić, J. E. (1994). Converses of Jensen’s inequality for several operators. Rev. Anal. Numér. Théor. Approx., 23(2), 179-183. https://ictp.acad.ro/jnaat/journal/article/view/1994-vol23-no2-art7