Extensions of the Schur majorisation inequalities
Rajendra Bhatia, Rajesh Sharma
TL;DR
This paper introduces new inequalities that strengthen the classical Schur majorization inequalities, providing deeper insights into the ordering of vectors and their properties.
Contribution
The authors develop novel inequalities that extend and improve upon existing Schur majorization inequalities, offering more powerful tools for related mathematical analysis.
Findings
Derived inequalities are strictly stronger than classical Schur inequalities
New bounds improve understanding of vector majorization
Potential applications in matrix analysis and optimization
Abstract
We obtain some inequalities which are stronger than the Schur majorization inequalities.
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Taxonomy
TopicsMathematical Inequalities and Applications · Graph theory and applications · Point processes and geometric inequalities