Uniformly convex functions on Banach spaces

DOI10.1090/S0002-9939-08-09630-5zbMath1184.52009OpenAlexW2033743770WikidataQ56935572 ScholiaQ56935572MaRDI QIDQ3617599

Jon Vanderwerff, Petr Hájek, Jonathan M. Borwein, Antonio J. Guirao

Publication date: 30 March 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-08-09630-5

zbMATH Keywords

convex functionsuperreflexiveuniformly convexuniformly smooth

Mathematics Subject Classification ID

Convex programming (90C25) Fréchet and Gateaux differentiability in optimization (49J50) Convex functions and convex programs in convex geometry (52A41) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10) Derivatives of functions in infinite-dimensional spaces (46G05)

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Cites Work

• The modulus of convexity in normed linear spaces
• Uniformly convex and uniformly smooth convex functions
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• On the moduli of convexity and smoothness
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• On uniformly convex functions
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