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Generalized Reverse Young and Heinz Inequalities

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Abstract

In this paper, we study the further improvements of the reverse Young and Heinz inequalities for the wider range of v, namely \(v\in \mathbb {R}\). These modified inequalities are used to establish corresponding operator inequalities on a Hilbert space.

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Acknowledgements

The authors express their gratitude to the editor-in-chief Prof. Rosihan M. Ali and the anonymous referees for their careful reading and detailed comments which have considerably improved the paper.

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Authors and Affiliations

  1. Department of Information Science, College of Humanities and Sciences, Nihon University, 3-25-40, Sakurajyousui, Setagaya-ku, Tokyo, 156-8550, Japan

    Shigeru Furuichi

  2. School of Mathematics, Iran University of Science and Technology, 16846-13114, Narmak, Tehran, Iran

    Mohammad Bagher Ghaemi & Nahid Gharakhanlu

Authors
  1. Shigeru Furuichi
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  2. Mohammad Bagher Ghaemi
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  3. Nahid Gharakhanlu
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Corresponding author

Correspondence to Shigeru Furuichi.

Additional information

Communicated by Mohammad Sal Moslehian.

The author Shigeru Furuichi was partially supported by JSPS KAKENHI Grant Number 16K05257.

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Furuichi, S., Ghaemi, M.B. & Gharakhanlu, N. Generalized Reverse Young and Heinz Inequalities. Bull. Malays. Math. Sci. Soc. 42, 267–284 (2019). https://doi.org/10.1007/s40840-017-0483-y

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  • DOI: https://doi.org/10.1007/s40840-017-0483-y

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