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Further refinements of Alzer–Fonseca–Kovačec’s inequalities and applications

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this work, we give further refinements of one of the most important extensions to Young’s inequalities due to Alzer–Fonseca–Kovačec (Linear Multilinear Algebra 63(3):622–635, 2015). As applications, we show some related inequalities for operators and some refinements of Young-type inequalities for determinants of positive \(\tau \)-measurable operators.

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Acknowledgements

The authors would like to express their deep thanks to the anonymous referees for their helpful comments and suggestions on the initial version of the manuscript which lead to the improvement of this paper.

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Authors and Affiliations

  1. Department of Mathematics, Faculy of Sciences-Semlalia, University Cadi Ayyad, Av. Prince My. Abdellah, BP 2390, 40.000, Marrakech, Morocco

    Mohamed Amine Ighachane, Mohamed Akkouchi & El Hassan Benabdi

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  1. Mohamed Amine Ighachane
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  2. Mohamed Akkouchi
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  3. El Hassan Benabdi
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Correspondence to El Hassan Benabdi.

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Ighachane, M.A., Akkouchi, M. & Benabdi, E.H. Further refinements of Alzer–Fonseca–Kovačec’s inequalities and applications. RACSAM 115, 152 (2021). https://doi.org/10.1007/s13398-021-01093-5

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  • DOI: https://doi.org/10.1007/s13398-021-01093-5

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