ONE-DIMENSIONAL INTEGRAL RELLICH TYPE INEQUALITIES
Ozawa T. Roychowdhury P. Suragan D.
2025L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2025#16Issue 186 - 93 pp.
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.
Hardy inequality , Hardy-Rellich inequality , Rellich inequality , sharp constant
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Department of Applied Physics Waseda University, Okubo 3–4–1, Shinjuku-ku, Tokyo, 169-8555, Japan
Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca, Via Cozzi 55, Milano, 20125, Italy
Department of Mathematics Nazarbayev University, Kabanbay batyr ave. 53, Astana, 010000, Kazakhstan
Department of Applied Physics Waseda University
Dipartimento di Matematica e Applicazioni Università degli Studi di Milano-Bicocca
Department of Mathematics Nazarbayev University
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