Home / Current Issue / Paper 1718880
A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators
Subject area: Science,Engineering and Technology · Area of research: Mathematics
DOI: https://doi.org/10.64388/IREV9I12-1718880
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
How to cite this paper
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
A. M. Nyongesa "A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators" Iconic Research And Engineering Journals, vol. 9, no. 12, Jun. 2026, doi: https://doi.org/10.64388/IREV9I12-1718880
A. M. Nyongesa (2026). A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators. Iconic Research And Engineering Journals, 9(12). doi: https://doi.org/10.64388/IREV9I12-1718880
A. M. Nyongesa "A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators" Iconic Research And Engineering Journals, vol. 9, no. 12, Jun. 2026. Crossref, https://doi.org/10.64388/IREV9I12-1718880
@article{1718880,
author = {A. M. Nyongesa},
title = {A Further Generalization of Young’s Inequalities for Multiple Variables and τ -measurable Operators},
journal = {Iconic Research And Engineering Journals},
year = {2026},
volume = {9},
number = {12},
pages = {1441-1445},
issn = {2456-8880},
url = {https://www.irejournals.com/formatedpaper/1718880.pdf},
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},
month = {June},
doi = {https://doi.org/10.64388/IREV9I12-1718880}
}