Convexity properties of generalizations of the arithmetic-geometric mean

DOI10.1080/01630569008816359zbMath0687.47040OpenAlexW1990504947MaRDI QIDQ4205970

Joel E. Cohen, Roger D. Nussbaum

Publication date: 1990

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569008816359

zbMATH Keywords

concavityconvexityelliptic integralsarithmetic-geometric meanfunctional iteration

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities and extremum problems involving convexity in convex geometry (52A40) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Convex sets in topological linear spaces; Choquet theory (46A55)

Related Items

A noncontinuous generalization of the arithmetic-geometric mean.

Cites Work

• Unnamed Item
• Unnamed Item
• Convexity and log convexity for the spectral radius
• Means of positive linear operators
• On the compounding of certain means
• Arithmetic-geometric means of positive matrices
• Algorithms Involving Arithmetic and Geometric Means