Eigenvalue extensions of Bohr's inequality
Jagjit Singh Matharu, Mohammad Sal Moslehian, Jaspal Singh Aujla
TL;DR
This paper extends Bohr's inequality to eigenvalues and unitarily invariant norms using a new weak majorization inequality, broadening its mathematical applications.
Contribution
Introduces a weak majorization inequality and applies it to derive eigenvalue and norm extensions of Bohr's inequality.
Findings
Established a weak majorization inequality.
Derived eigenvalue extensions of Bohr's inequality.
Extended Bohr's inequality to unitarily invariant norms.
Abstract
We present a weak majorization inequality and apply it to prove eigenvalue and unitarily invariant norm extensions of a version of the Bohr's inequality due to Vasi\'c and Ke\v{c}ki\'c.
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Taxonomy
TopicsMathematical Inequalities and Applications · Analytic and geometric function theory · Functional Equations Stability Results