On a relation between Schur, Hardy-Littlewood-Pólya and Karamata's theorem and an inequality of some products of \(x^p-1\) derived from the Furuta inequality

DOI10.1186/1029-242X-2013-137zbMath1285.26029WikidataQ59302942 ScholiaQ59302942MaRDI QIDQ2636666

Keiichi Watanabe

Publication date: 31 January 2014

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

inequalitiesfractional powersconvex functionsmatrix inequalitiesFuruta inequalitymajorization

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Functional inequalities, including subadditivity, convexity, etc. (39B62) Convexity of real functions in one variable, generalizations (26A51) Elementary functions (26A09) Inequalities involving other types of functions (26D07)

Cites Work

• Über monotone Matrixfunktionen
• Beiträge zur Störungstheorie der Spektralzerlegung
• Best possibility of the Furuta inequality

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