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Complementary to Jensen’s Operator Inequalities in External Formulas

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Abstract

It is known that the classical Jensen inequality can be expressed by externally dividing points. Recently, this fact has been proved for operator Jensen inequality. In this paper, we give some complementary inequalities for operator Jensen inequality in external form. The results are used to provide extensions for the monotonicity of operator means and the joint convexity of operator perspective function.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P. O. Box 1339, Bojnord, 94531, Iran

    Mohsen Kian

  2. Faculty of Mechanical Engineering and Naval Architecture, University of Zagreb, Ivana Lučića 5, 10000, Zagreb, Croatia

    Jadranka Mićić

Authors
  1. Mohsen Kian
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  2. Jadranka Mićić
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Correspondence to Mohsen Kian.

Additional information

Communicated by Mohammad Sal Moslehian.

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Kian, M., Mićić, J. Complementary to Jensen’s Operator Inequalities in External Formulas. Bull. Malays. Math. Sci. Soc. 42, 2985–3003 (2019). https://doi.org/10.1007/s40840-018-0646-5

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  • DOI: https://doi.org/10.1007/s40840-018-0646-5

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