5 papers
Operator Inequalities and Several Characterizations of the -Mean Transform
Bikram Das, Goutam Biswas, Chandal Nahak
We broaden Buzano-type inequalities to provide novel numerical radius bounds for operators of the type , thereby generalizing the results obtained by Sababheh et al. For the $…
New perspectives on operator radius bounds in weighted frameworks
Bikram Das, Chandal Nahak
By employing the MoorePenrose inverse of a bounded linear operator, we derive several bounds for the numerical radius and operator norms of the sum of operators in semiHilber…
An improved Copson inequality
Bikram Das, Atanu Manna
In this paper, we prove that the discrete Copson inequality (E.T. Copson, \emph{Notes on a series of positive terms}, J. London Math. Soc., 2 (1927), 49-51) of one-dimension in gen…
On improvements of the Hardy, Copson and Rellich inequalities
Bikram Das, Atanu Manna
Using a method of factorization and by introducing a generalized discrete Dirichlet's Laplacian matrix , we establish an extended improved discrete Hardy's inequality and R…
On the improvements of Hardy and Copson inequalities
Bikram Das, Atanu Manna
In this current work, we revisit the recent improvement of the discrete Hardy's inequality in one dimension and establish an extended improved discrete Hardy's inequality with its…