Orlicz extension of Numerical radius inequalities
Abstract
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 bounds of various inequalities involving numerical radii have been obtained. Finally, we compute an upper bound of the numerical radius for block matrices of the form bmatrixO & P\ & O bmatrix, where P, Q are any bounded linear operators on a Hilbert space.
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