Generalization of Hilbert-Hardy Integral Inequalities

Authors

  • Sobhy a Mahrouf Department of Mathematics, Faculty of Science, Minoufiya University, Shebin El-Koom, Egypt.

Keywords:

Best possible constant, Beta and Gamma functions, Hardy inequality, Hilbert's integral inequality, Weight coefficient.

Abstract

In this paper, Hilbert's integral inequalities with some parameters are considered, by using new methods in the proof. Several results of Hardy and Yang are special cases of the new given inequality. As an application, we give some applied examples that illustrate our results.

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Published

24-01-2018