通过著名常数和应用对young型不等式实幂形式的进一步改进和反演

Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-32

Doan Thi Thuy Van, Duong Quoc Huy

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引用次数: 0

摘要

．在本文中，我们提出了Young-type不等式的实权形式的新的修正和反转，推广了D. Q. Huy等人[线性代数应用，656(2023)，368-384]和Y. Ren等人最近的启发结果。不平等的。应用2020(2020)，论文98号，13页。此外，通过著名的常数Kantorovich常数和Specht比，上述元素和反转继续得到改善。作为应用，我们建立了算子版本、酉不变范数不等式和矩阵行列式不等式。

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Further new refinements and reverses of real power form for Young-type inequalities via famous constants and applications

. In this paper, we propose new re ﬁ nements and reverses of real power form for Young-type inequalities, which generalizes the recent inspired results by D. Q. Huy et al. [Linear Al-gebra Appl. 656 (2023), 368-384], and by Y. Ren et al. [J. Inequal. Appl. 2020 (2020), Paper No. 98, 13 p.]. Furthermore, the above re ﬁ nements and reverses are continued to improve via the famous constants consisting of Kantorovich constant and Specht ratio. As applications, we establish operator versions, inequalities for unitarily invariant norms and inequalities for determinants of matrices.

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