利用弱次多数构造凸函数的实幂不等式

Pub Date : 2023-01-01 DOI:10.7153/oam-2023-17-16

M. Ighachane, Mohammed Bouchangour

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引用次数: 2

摘要

．本文的主要目标是开发一种改进凸函数和对数凸函数的一些新的实幂不等式的一般方法，该方法扩展并统一了M. Sababheh[线性代数应用，506(2016)，588 - 602]和D. Q. Huy等人[线性代数应用，656(2023)，368-384]最近的两个重要结果。然后，通过选择合适的凸函数和对数凸函数，我们得到了标量和矩阵的新的平均不等式，以及矩阵的Heinz型不等式和H¨older型不等式的一些新的修正和反演。我们还得到了一些新的和重新定义的迹和数值半径不等式。数学

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Some refinements of real power form inequalities for convex functions via weak sub-majorization

. The main goal of this article, is to develop a general method for improving some new real power inequalities for convex and log-convex functions, which extends and uni ﬁ es two recent and important results due to M. Sababheh [Linear Algebra Appl. 506 (2016), 588– 602] and D. Q. Huy et al. [Linear Algebra Appl. 656 (2023), 368–384]. Then by selecting some appropriate convex and log-convex functions, we obtain new mean inequalities for scalars and matrices, some new re ﬁ nements and reverses of the Heinz and H¨older type inequalities for matrices. We get also some new and re ﬁ ned trace and numerical radius inequalities. Mathematics

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