3 papers
math.FA2025
A new norm on the space of reproducing kernel Hilbert space operators and Berezin number inequalities
Raj Kumar Nayak, Pintu Bhunia
In this note, we introduce a novel norm, termed the Berezin norm, on the algebra of all bounded linear operators defined on a reproducing kernel Hilbert space as…
math.FA2024
Numerical Radius Inequalities via Orlicz function
Pintu Bhunia, Raj Kumar Nayak
Employing the Orlicz functions we extend the Buzano's inequality which is a refinement of the Cauchy-Schwarz inequality. Also using the Orlicz functions we obtain several numerical…
math.FA2024
Enhancement of the Cauchy-Schwarz Inequality and Its Implications for Numerical Radius Inequalities
Raj Kumar Nayak
In this article, we establish an improvement of the Cauchy-Schwarz inequality. Let and let be a well-defined function, w…