论关于 s 凸性的一些算子不等式

IF 0.3 Q4 MATHEMATICS

Acta Mathematica Vietnamica Pub Date : 2023-12-23 DOI:10.1007/s40306-023-00519-z

Lahcen Tarik, Mustapha Raïssouli, Mohamed Chergui, Bouazza El Wahbi

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引用次数: 0

摘要

在本文中，我们将 s-conxity 的概念从函数为实变数的情况扩展到函数为算子参数的情况。随后，我们研究了一些相关性质和算子不等式。作为应用，我们建立了一些涉及某些算子手段的 Hermite-Hadamard 和 Jensen 类型的不等式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Some Operator Inequalities with Respect to the s-Convexity

In this paper, we extend the concept of s-convexity from the case where the functions are with real variables to the case where the functions are with operator arguments. Afterwards, we investigate some related properties and operator inequalities. As an application, some inequalities of Hermite-Hadamard and Jensen types involving some operator means are established.

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来源期刊

Acta Mathematica Vietnamica MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

期刊介绍： Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.