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arXiv · 2104.01737

Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities

Megumi Sano
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Abstract

We give improvements and generalizations of both the classical Hardy inequality and the geometric Hardy inequality based on the divergence theorem. Especially, our improved Hardy type inequality derives both two Hardy type inequalities with best constants. Besides, we improve two Rellich type inequalities by using the improved Hardy type inequality.

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Megumi Sano. 2021-04-05. Improvements and generalizations of two Hardy type inequalities and their applications to the Rellich type inequalities. https://arxiv.org/abs/2104.01737

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