杨氏型不等式的进一步改进及其用Kantorovich常数的反转

Pub Date : 2023-01-01 DOI:10.2298/fil2303675i

M. Ighachane, M. Akkouchi

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引用次数: 0

摘要

在本文中，我们展示了Young?通过Kantorovich常数，扩展并统一了L. Nasiri等人最近的两个重要结果。Math(74)， 2019)，和C. Yang等人。数学。不等式，(14)，2020)。应用这些标量的结果，我们给出了Young?s型不等式的算子，Hilbert-Schmidt范数，迹和酉不变范数。

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Further refinement of Young’s type inequalities and its reversed using the Kantorovich constants

In this paper, we show a multiple-term refinement of Young?s type inequality and its reverse via the Kantorovich constants, which extends and unifies two recent and important results due to L. Nasiri et al. (Result. Math (74), 2019), and C. Yang et al. (Journal. Math. Inequalities, (14), 2020). An application of these scalars results we give a multiple-term refinement of Young?s type inequalities for operators, Hilbert-Schmidt norms, traces and the unitarily invariant norms.

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