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Weighted Inequalities For The Numerical Radius

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Abstract

In this article, we obtain several new weighted bounds for the numerical radius of a Hilbert space operator. The significance of the obtained results is the way they generalize many existing results in the literature; where certain values of the weights imply some known results, or refinements of these results. In the end, we present some numerical examples that show how our results refine the well known results in the literature, related to this topic.

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Acknowledgements

The authors would like to express there sincere gratitude for the anonymous referees, whose valuable comments have significantly improved the paper.

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Correspondence to Mohammed Sababheh.

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Sheybani, S., Sababheh, M. & Moradi, H.R. Weighted Inequalities For The Numerical Radius. Vietnam J. Math. 51, 363–377 (2023). https://doi.org/10.1007/s10013-021-00533-4

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  • DOI: https://doi.org/10.1007/s10013-021-00533-4

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