New analogues of Hilbert integral inequality of three variables
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Keywords:
Hilbert’s integral inequality, Hölder inequality, Equivalent Forms. 2000 Mathematics Subject Classification: 26D15.Abstract
In this paper, we apply Hölder inequality, use the special functions Gamma and Beta functions as tools, and use special substitutions to evaluate the integrals that appear in the main results to give a new form for Hilbert Integral Inequality for three variables. The reverse form and equivalent forms of the inequality in theorem 1 are also obtained. The constant we obtained is the best constant.
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