30 citations · 68 across the 10 of their papers we have counts for
11 papers
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…
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…
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…
Advancement of numerical radius inequalities of operator and product of operators
Raj Kumar Nayak
In this article, we proved upper bounds for numerical radius of bounded linear operator and product of operators which generalize and improve existing inequalities. We also obtain…
Weighted numerical radius inequalities for operator and operator matrices
Raj Kumar Nayak
The concepts of weighted numerical radius has been defined in recent times. In this article, we obtain several upper bound for weighted numerical radius of operators and $2 \times…
Refinement of seminorm and numerical radius inequalities of semi-Hilbertian space operators
Pintu Bhunia, Kallol Paul, Raj Kumar Nayak
We give new inequalities for -operator seminorm and -numerical radius of semi-Hilbertian space operators and show that the inequalities obtained here generalize and improve o…
Improvement of -numerical radius inequalities of semi-Hilbertian space operators
Pintu Bhunia, Raj Kumar Nayak, Kallol Paul
Let be a complex Hilbert space and let be a positive operator on . We obtain new bounds for the -numerical radius of operators in semi-Hilbertian…
Refinements of A-numerical radius inequalities and their applications
Pintu Bhunia, Raj Kumar Nayak, Kallol Paul
We present sharp lower bounds for the A-numerical radius of semi-Hilbertian space operators. We also present an upper bound. Further we compute new upper bounds for the -numeric…
Estimations of zeros of a polynomial using numerical radius inequalities
Pintu Bhunia, Santanu Bag, Raj Kumar Nayak +1
We present new bounds for the numerical radius of bounded linear operators and operator matrices. We apply upper bounds for the numerical radius to the Frobenius compan…
On inequalities for A-numerical radius of operators
Pintu Bhunia, Kallol Paul, Raj Kumar Nayak
Let be a positive operator on a complex Hilbert space We present inequalities concerning upper and lower bounds for -numerical radius of operators, which impr…
Sharp inequalities for the numerical radius of Hilbert space operators and operator matrices
Pintu Bhunia, Kallol Paul, Raj kumar Nayak
We present new upper and lower bounds for the numerical radius of a bounded linear operator defined on a complex Hilbert space, which improve on the existing bounds. Among many oth…