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math.FA2022
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…
math.FA2022
Numerical radius and Berezin number inequality
Satyabrata Majee, Amit Maji, Atanu Manna
We study various inequalities for numerical radius and Berezin number of a bounded linear operator on a Hilbert space. It is proved that the numerical radius of a pure two-isometry…
math.FA2022
Orlicz extension of Numerical radius inequalities
Amit Maji, Atanu Manna, Ram Mohapatra
In this paper, we achieve new and improved numerical radius inequalities of operators defined on a Hilbert space by using Orlicz function and Hermite-Hadamard inequality. The upper…