青岛大学学报（自然科学版）2026，Vol.39Issue(1)：6-10,27,6.DOI:10.3969/j.issn.1006-1037.2026.01.02
基于凹函数的酉不变范数不等式改进
Refinements of Unitarily Invariant Norm Inequalities via Concave Functions
摘要
Abstract
By constructing a special semi-definite block matrix and using the singular value inequality of matrix,two refined unitarily invariant norm inequalities were obtained with the help of the nonnegative increasing property of concave function.The obtained results improve the upper bound from 2|f(A+B/2)alue inequ in Kittaneh and Matharu's inequality to the tight bound|f(A+B)|,and an inequality chain containing the intermediate term|f(A+B)|was established.关键词
半正定分块矩阵/非负凹函数/酉不变范数/奇异值不等式/不等式链Key words
positive semi-definite block matrix/nonnegative concave function/unitarily in-variant norm/singular value inequalities/inequality chain分类
数理科学引用本文复制引用
彭晨光,吕康乐,张云..基于凹函数的酉不变范数不等式改进[J].青岛大学学报（自然科学版）,2026,39(1):6-10,27,6.基金项目
安徽高校自然科学研究重大项目(批准号:KJ2021ZD0058)资助 （批准号:KJ2021ZD0058）
安徽省自然科学基金(批准号:1708085QA05)资助 （批准号:1708085QA05）
安徽省高校科研项目(批准号:2024AH051678)资助 （批准号:2024AH051678）
淮北师范大学研究生创新基金(批准号:CX2023046)资助 （批准号:CX2023046）
淮北师范大学经费拓展研究项目(批准号:2023ZK035)资助. （批准号:2023ZK035）
