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Inverses of new Hilbert-Pachpatte-type inequalities

Journal of Inequalities and Applications volume 2006, Article number: 97860 (2006) Cite this article

Abstract

We establish a new inequality of Hilbert type for a finite double number of nonnegative sequences of real numbers and some interrelated results, which are inverse and general forms of Pachpatte's and Handley's results. An integral version and some interrelated results are also obtained. These results provide some new estimates on such types of inequalities.

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Authors and Affiliations

  1. Department of Information and Mathematics Sciences, College of Science, China Jiliang University, Hangzhou, 310018, China

    Chang-Jian Zhao

  2. Department of Mathematics, The University of Hong Kong, Pokfulam Road, Hong Kong

    Wing-Sum Cheung

Authors
  1. Chang-Jian Zhao
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  2. Wing-Sum Cheung
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Correspondence to Chang-Jian Zhao.

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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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Zhao, CJ., Cheung, WS. Inverses of new Hilbert-Pachpatte-type inequalities. J Inequal Appl 2006, 97860 (2006). https://doi.org/10.1155/JIA/2006/97860

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  • DOI: https://doi.org/10.1155/JIA/2006/97860

Keywords

  • Real Number
  • Integral Version
  • Double Number
  • Nonnegative Sequence
  • Hilbert Type