A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators

• Author(s): A. M. Nyongesa
• Paper ID: 1718880
• Page: 1441-1445
• Published Date: 15-06-2026
• Published In: Iconic Research And Engineering Journals
• Publisher: IRE Journals
• e-ISSN: 2456-8880
• Volume/Issue: Volume 9 Issue 12 June-2026

Abstract

We establish several multivariate refinements of Young’s inequality and extend them to τ-measurable operators affiliated with finite von Neumann algebras. Applications are obtained for determinants, spectral radius, Hilbert space operator means and noncommutative L_pnorms. In addition, we develop log-convex refinements and operator inequalities that strengthen previously known Young-type inequalities.

Keywords

Young Inequality, Operator Means, τ-Measurable Operators, Spectral Radius

Citations

IRE Journals:
A. M. Nyongesa "A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators" Iconic Research And Engineering Journals Volume 9 Issue 12 2026 Page 1441-1445 https://doi.org/10.64388/IREV9I12-1718880

IEEE:
A. M. Nyongesa "A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators" Iconic Research And Engineering Journals, 9(12) https://doi.org/10.64388/IREV9I12-1718880