New inequalities involving the $q$-numerical radius of Hilbert space operators

Authors

  • Nirmal Chandra Rout Bhadrak Autonomous College, Bhadrak Author
  • Satyajit Sahoo IIT Bhubaneswar Author
  • Kiran Kumar Behera Mathematics Division, School of Advanced Sciences and Languages, VIT Bhopal University, Bhopal, India Author

DOI:

https://doi.org/10.2298/FIL2607651R

Keywords:

$q$-numerical radius, operator norm, inequality, Buzano inequality.

Abstract

In this article, we have established several new inequalities involving the $q$-numerical radius for operators and $2\times 2$ operator matrices. By utilizing the Buzano inequality, we derived additional bounds that further extend the existing results in the literature. Comparative analysis with existing results is presented to emphasize the generality of the newly obtained inequalities.

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Published

2026-03-30

Issue

Vol. 40 No. 07 (2026)

Section

Articles