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Journal of Inequalities and Applications
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A Hilbert-Type Linear Operator with the Norm and Its Applications

Journal of Inequalities and Applications volume 2009, Article number: 494257 (2009) Cite this article

Abstract

A Hilbert-type linear operator is defined. As for applications, a more precise operator inequality with the norm and its equivalent forms are deduced. Moreover, three equivalent reverses from them are given as well. The constant factors in these inequalities are proved to be the best possible.

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  1. Department of Mathematics, Guangdong Institute of Education, Guangzhou, Guangdong, 510303, China

    Wuyi Zhong

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  1. Wuyi Zhong
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Correspondence to Wuyi Zhong.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Zhong, W. A Hilbert-Type Linear Operator with the Norm and Its Applications. J Inequal Appl 2009, 494257 (2009). https://doi.org/10.1155/2009/494257

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  • DOI: https://doi.org/10.1155/2009/494257

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