Some refinements of classical inequalities

2017/05/05 by Furuichi, Shigeru, Moradi, Hamid Reza
#46L05 #47A60 #47A63 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1705.02185

Abstract

We give some new refinements and reverses Young inequalities in both additive-type and multiplicative-type for two positive numbers/operators. We show our advantages by comparing with known results. A few applications are also given. Some results relevant to the Heron mean are also considered.

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