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arXiv:2301.11638 [math.FA]AbstractReferencesReviewsResources

One-dimensional integral Rellich type inequalities

Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan

Published 2023-01-27Version 1

The motive of this note is twofold. Inspired by the recent development of a new kind of Hardy inequality, here we discuss the corresponding Hardy-Rellich and Rellich inequality versions in the integral form. The obtained sharp Hardy-Rellich type inequality improves the previously known result. Meanwhile, the established sharp Rellich type integral inequality seems new.

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