Numerical Radius Inequalities via Orlicz function

2024/08/23 by Pintu Bhunia, Bhunia, Pintu, Raj Kumar Nayak +1
Computer Science · Decision Sciences · Mathematics · #15A60 #47A12 #47A30 #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Inequalities and Applications #Matrix Theory and Algorithms #Multi-Criteria Decision Making

paper · pdf · doi:10.48550/arxiv.2408.12848

openalex publication_date 2024/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 radius inequalities for a bounded linear operator as well as the products of operators. We deduce different new upper bounds for the numerical radius. It is shown that w(T) ≤ √[n] log [ \frac12^n-1 e^w(Tn) + ( 1-\frac12^n-1) e^‖T‖n] amp;\leqamp; ‖T‖ ∀ n=2,3,4, … where w(T) and ‖T‖ denote the numerical radius and the operator norm of a bounded linear operator T, respectively.

Related

• Orlicz extension of Numerical radius inequalities
• Power numerical radius inequalities from an extension of Buzano's inequality
• Numerical Radius Bounds via the Euclidean Operator Radius and Norm
• More accurate numerical radius inequalities
• Advancement of numerical radius inequalities of operator and product of operators