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arXiv · 2301.11638

One-dimensional integral Rellich type inequalities

Tohru Ozawa·Prasun Roychowdhury·Durvudkhan Suragan
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Abstract

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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Tohru Ozawa, Prasun Roychowdhury, Durvudkhan Suragan. 2023-01-27. One-dimensional integral Rellich type inequalities. https://doi.org/10.32523/2077-9879-2025-16-1-86-93

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