广义考奇-布尼亚科夫斯基-施瓦茨不等式及其应用

IF 0.6 4区数学 Q3 MATHEMATICS

Functional Analysis and Its Applications Pub Date : 2024-10-14 DOI:10.1134/S0016266324030079

Mahta Hosseini, Rahele Nuraei, Mohsen Shah Hosseini

引用次数: 0

摘要

在本文中，我们提出了对某些考奇-布尼亚科夫斯基-施瓦茨类型不等式的广义改进。作为我们结果的应用，我们对希尔伯特空间算子的一些数值半径不等式进行了改进。最后，我们得到了涉及几何凸函数的希尔伯特空间算子的某些数值半径。

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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Generalized Cauchy–Bunyakovsky–Schwarz Inequalities and Their Applications

In this article, we present generalized improvements of certain Cauchy–Bunyakovsky–Schwarz type inequalities. As applications of our results, we provide improvements of some numerical radius inequalities for Hilbert space operators. Finally, we obtain certain numerical radii of Hilbert space operators involving geometrically convex functions.

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来源期刊

Functional Analysis and Its Applications 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Functional Analysis and Its Applications publishes current problems of functional analysis, including representation theory, theory of abstract and functional spaces, theory of operators, spectral theory, theory of operator equations, and the theory of normed rings. The journal also covers the most important applications of functional analysis in mathematics, mechanics, and theoretical physics.