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On Reversing Operator Choi–Davis–Jensen Inequality

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Abstract

In this paper, we first provide a better estimate of the second inequality in Hermite–Hadamard inequality. Next, we study the reverse of the celebrated Davis–Choi–Jensen’s inequality. Our results are employed to establish a new bound for the operator Kantorovich inequality.

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Acknowledgements

The authors would like to thank the anonymous referees for their comments and suggestions on preliminary versions of this paper, which have led to a substantial improvement in its readability. This work was partially supported by the Islamic Azad University, Central Tehran Branch.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran, Iran

    Seyyed Saeid Hashemi Karouei & Mohammad Sadegh Asgari

  2. Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran

    Mohsen Shah Hosseini

Authors
  1. Seyyed Saeid Hashemi Karouei
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  2. Mohammad Sadegh Asgari
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  3. Mohsen Shah Hosseini
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Correspondence to Mohammad Sadegh Asgari.

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Hashemi Karouei, S.S., Asgari, M.S. & Shah Hosseini, M. On Reversing Operator Choi–Davis–Jensen Inequality. Iran J Sci Technol Trans Sci 45, 1405–1410 (2021). https://doi.org/10.1007/s40995-021-01129-w

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  • DOI: https://doi.org/10.1007/s40995-021-01129-w

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