2025/01/13 by Sahoo, Satyajit, Behera, Narayan
#15A60 #47A12 #47A30 #47A63 #FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2501.06995
In this article, a series of new inequalities involving the q-numerical radius for n× n tridiagonal, and anti-tridiagonal operator matrices has been established. These inequalities serve to establish both lower and upper bounds for the q-numerical radius of operator matrices. Additionally, we developed q-numerical radius inequalities for n× n circulant, skew circulant, imaginary circulant, imaginary skew circulant operator matrices. Important examples have been used to illustrate the developed inequalities. In this regard, analytical expressions and a numerical algorithm have also been employed to obtain the q-numerical radii. We also provide a concluding section, which may lead to several new problems in this area.