Refinements and reverses of Young type inequalities

Yang, Chao; Ren, Yonghui

doi:10.12988/ijma.2018.811

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2020

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“…By Lemma 4.2 and (2.8), finally, we have the following conclusions with Kantorovich constants for unitarily invariant norm and trace. The reader can refer to Theorem 4.5 or [15] to get the process of proof. Just like Corollary 4.7, of course, the reader can come to the similar conclusion with Specht's ratio.…”

Section: Theorem 45 Letmentioning

confidence: 99%

A new young type inequality involving Heinz mean

Yang

Liu

2020

Filomat

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In this paper, we gave a new Young type inequality and the relevant Heinz mean inequality. Furthermore, we also improved some inequalities with Kantorovich constant or Specht?s ratio. Meanwhile, on the base of our scalars results, we obtain some new corresponding operator inequalities and matrix versions including Hilbert-Schmidt norm, unitarily invariant norm and related trace versions, which can be regarded as the application of our scalar results.

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Section: Theorem 45 Letmentioning

confidence: 99%