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A majorization inequality for Wright-convex functions revisited

✍ Scribed by D. Inoan, I. Raşa

Book ID
113013755
Publisher
Springer
Year
2012
Tongue
English
Weight
153 KB
Volume
83
Category
Article
ISSN
0001-9054

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Weak majorization inequalities and conve
Weak majorization inequalities and convex functions
✍ Jaspal Singh Aujla; Fernando C. Silva 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 143 KB

Let f be a convex function defined on an interval I , 0 α 1 and A, B n × n complex Hermitian matrices with spectrum in I. We prove that the eigenvalues of f (αA + (1α)B) are weakly majorized by the eigenvalues of αf (A) + (1α)f (B). Further if f is log convex we prove that the eigenvalues of f (αA +