Further bounds on $q$-numerical radius of Hilbert space operators

Satyajit Sahoo, Nirmal Chandra Rout

Published 2025-02-06Version 1

In this article, we developed a series of new inequalities involving the $q$-numerical radius for operators and $2\times 2$ operator matrices. These inequalities serve to establish both lower and upper bounds for the $q$-numerical radius of operators. Additionally, we established $q$-numerical radius inequalities for operators via Buzano inequality.