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Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality

Journal of Inequalities and Applications volume 2007, Article number: 082138 (2008) Cite this article

Abstract

The norm of a Hilbert's type linear operator is given. As applications, a new generalizations of Hilbert integral inequality, and the result of series analogues are given correspondingly.

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Authors and Affiliations

  1. Institute of Logic and Cognition, Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China

    Yongjin Li

  2. Department of Mathematics, Guangdong University of Finance, Zhaoqing Campus, Zhaoqing, 526060, China

    Zhiping Wang

  3. Department of Mathematics, Guangdong Education College, Guangzhou, 510303, China

    Bing He

Authors
  1. Yongjin Li
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  2. Zhiping Wang
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  3. Bing He
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Corresponding author

Correspondence to Yongjin Li.

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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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Li, Y., Wang, Z. & He, B. Hilbert's Type Linear Operator and Some Extensions of Hilbert's Inequality. J Inequal Appl 2007, 082138 (2008). https://doi.org/10.1155/2007/82138

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