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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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