发表机构
Thapar Institute of Engineering and Technology（Thapar工程技术学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究针对希尔伯特空间算子，借助Schatten p-范数与广义Aluthge变换推导加权p-数值半径不等式，改进了已有结果，并通过实例分析了不同矩阵加权数值半径的上界。
AI 中文摘要
本文针对希尔伯特空间中的算子，利用Schatten p-范数与广义Aluthge变换推导了多种加权p-数值半径不等式；此外，还探究了算子的经典数值半径与范数不等式，所得界改进了若干已知的前期结果；同时，本文提供了实例，通过广义Aluthge变换计算并分析了不同类型矩阵的加权数值半径的上界。
英文摘要
In this article, we derive various weighted p-numerical radius inequalities using the Schatten p-norm with the generalized Aluthge transform for operators in Hilbert spaces. In addition, the article explores classical numerical radius and norm inequalities for operators. The bounds obtained in this work improve upon several well-known previous results. In addition, we provide examples where we calculate and analyze upper bounds for the weighted numerical radius of different types of matrices using generalized Aluthge transformation.
