Convexity

DOI10.1017/CBO9780511910135zbMath1229.26003OpenAlexW4245470519MaRDI QIDQ5894133

Publication date: 18 February 2011

Full work available at URL: https://doi.org/10.1017/cbo9780511910135

extreme point relative entropy duality locally convex spaces Krein-Milman theorem convex analysis majorization Choquet theory rearrangement inequalities Brascamp-Lieb-Luttinger Loewners's theorem monotone and convex matrix functions

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Entropy in general topology (54C70) Inequalities for sums, series and integrals (26D15) Functional inequalities, including subadditivity, convexity, etc. (39B62) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to real functions (26-01) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Convexity of real functions of several variables, generalizations (26B25) Convex sets in topological linear spaces; Choquet theory (46A55) Duality and reflexivity in normed linear and Banach spaces (46B10) Numerical computation of matrix exponential and similar matrix functions (65F60)

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