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A Multidimensional Integral Inequality Related to Hilbert-Type Inequality

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Abstract

We present a multidimensional integral inequality related to the Hilbert-type inequality and the Carlson-type inequality. As an application, we obtain a sharper form of the Hilbert-type inequality. Carlson-type inequality is also considered.

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Authors and Affiliations

  1. Department of Mathematics, National University of Mongolia, P.O. Box 46A/125, Ulaanbaatar, 14201, Mongolia

    Vandanjav Adiyasuren

  2. Department of Mathematics, National University of Mongolia, P.O. Box 46A/104, Ulaanbaatar, 14201, Mongolia

    Tserendorj Batbold

  3. Department of Mathematics and Information Sciences, Tokyo Metropolitan University, 1-1 Minami-Ohsawa, Hachioji, 192-0397, Japan

    Yoshihiro Sawano

Authors
  1. Vandanjav Adiyasuren
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  2. Tserendorj Batbold
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  3. Yoshihiro Sawano
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Corresponding author

Correspondence to Tserendorj Batbold.

Additional information

This research was supported by the High Quality Research Grant No. 2015-07-15-4 of the National University of Mongolia.

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Adiyasuren, V., Batbold, T. & Sawano, Y. A Multidimensional Integral Inequality Related to Hilbert-Type Inequality. Mediterr. J. Math. 13, 3837–3848 (2016). https://doi.org/10.1007/s00009-016-0717-5

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  • DOI: https://doi.org/10.1007/s00009-016-0717-5

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