One-dimensional integral Rellich type inequalities
Functional Analysis
2025-05-14 v2 Classical Analysis and ODEs
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.
Cite
@article{arxiv.2301.11638,
title = {One-dimensional integral Rellich type inequalities},
author = {Tohru Ozawa and Prasun Roychowdhury and Durvudkhan Suragan},
journal= {arXiv preprint arXiv:2301.11638},
year = {2025}
}