Orlicz extension of Numerical radius inequalities

2022/07/05 by Amit Maji, Maji, Amit, Atanu Manna +2 · 1 citation
Mathematics · #47A12 #47A63 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2207.01915

openalex publication_date 2022/07/05 · openalex created_date 2022/07/08 · openalex updated_date 2026/07/28

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 \beginbmatrixO & P Q & O \endbmatrix, where P, Q are any bounded linear operators on a Hilbert space.

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