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

2021/04/04 by Megumi Sano, Sano, Megumi
Engineering · Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Fatigue and fracture mechanics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2104.01737

openalex publication_date 2021/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

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