Indian Journal of Science and Technology

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In this paper, new generalization of Hilbert's integral inequality is presented by using new techniques in proof. By the weight coefficient functions in the hypothesis and the parameters, we obtained many special cases which include, in particular, the integral inequalities derived by Hilbert, Hardy and Salem. As an application of our results, we construct some examples that ensure our results.

Keywords

Hilbert's Inequality, Hölder's Inequality, Hardy's Inequality, Beta and Gamma Functions, Weight Functions
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