Constructions of Uniformly Convex Functions

DOI10.4153/CMB-2011-049-2zbMath1260.46009OpenAlexW1976411320WikidataQ56935409 ScholiaQ56935409MaRDI QIDQ3143545

Jon Vanderwerff, Jonathan M. Borwein

Publication date: 30 November 2012

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/cmb-2011-049-2

zbMATH Keywords

normconvex functioncompositionpower typeuniformly convex functionuniformly smooth functionFenchel conjugate

Mathematics Subject Classification ID

Fréchet and Gateaux differentiability in optimization (49J50) Geometry and structure of normed linear spaces (46B20) Convex functions and convex programs in convex geometry (52A41) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (5)

Strongly Nonexpansive Mappings Revisited: Uniform Monotonicity and Operator Splitting ⋮ Re-examination of Bregman functions and new properties of their divergences ⋮ On proximal mappings with Young functions in uniformly convex Banach spaces ⋮ On uniformly convex functions ⋮ A new look at the Hardy-Littlewood-Pólya inequality of majorization

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