On further refinements for Young inequalities

2018/07/21 by Shigeru Furuichi, Hamid Reza Moradi, Furuichi, Shigeru +1
Mathematics · #47A60 #Advanced Harmonic Analysis Research #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Primary 47A63 #Secondary 26D07

paper · pdf · doi:10.48550/arxiv.1807.08214

openalex publication_date 2018/07/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, sharp results on operator Young's inequality are obtained. We first obtain sharp multiplicative refinements and reverses for the operator Young's inequality. Secondly, we give an additive result, which improves a well-known inequality due to Tominaga. We also provide some estimates for A\sharp_vB-A∇ _vB in which v∉ [ 0,1 ].

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