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Modulus and characteristic of convexity

Known as: Characteristic of convexity, Modulus of convexity 
In mathematics, the modulus of convexity and the characteristic of convexity are measures of "how convex" the unit ball in a Banach space is. In some… 
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Related topics

Related topics

7 relations

Broader (1)

Convex analysis
Convex functionConvex setModulus of continuityStrictly convex space

Papers overview

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2021
2021
The condition number of a function relative to a set
The condition number of a differentiable convex function, namely the ratio of its smoothness to strong convexity constants, is… 
Highly Cited
2013
Highly Cited
2013
NP-hardness of deciding convexity of quartic polynomials and related problems
We show that unless P = NP, there exists no polynomial time (or even pseudo-polynomial time) algorithm that can decide whether a… 
Highly Cited
2010
Highly Cited
2010
Proof of the fundamental gap conjecture
We prove the Fundamental Gap Conjecture, which states that the difference between the first two Dirichlet eigenvalues (the spec… 
2010
2010
Convergence Analysis for a System of Equilibrium Problems and a Countable Family of Relatively Quasi-Nonexpansive Mappings in Banach Spaces
We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems… 
2006
2006
On volume distribution in 2-convex bodies
We consider convex sets whose modulus of convexity is uniformly quadratic. First, we observe several interesting relations… 
Highly Cited
2003
Highly Cited
2003
Convexes hyperboliques et fonctions quasisymétriques
Hyperbolic convex sets and quasisymmetric functions Every bounded convex open set Ω of Rm is endowed with its Hilbert metric d… 
2002
2002
Monotonicity of Sequences Involving Geometric Means of Positive Sequences with Logarithmical Convexity
Let f be a positive function such that x [ f(x + 1)/f(x) − 1 ] is increasing on [1,∞), then the sequence { n √∏n i=1 f(i) / f(n… 
Highly Cited
2001
Highly Cited
2001
On James and Jordan–von Neumann constants and the normal structure coefficient of Banach spaces
Some relations between the James (or non-square) constant $J(X)$ and the Jordan-von Neumann constant $C_NJ(X),$ and the normal… 
1974
1974
Polyhedral convexity cuts and negative edge extensions
  • F. Glover
  • Z. Oper. Research
  • 1974
  • Corpus ID: 1057285
This note shows that convexity cuts defined relative to polyhedral convex sets can utilize negative as well as positive edge… 
Highly Cited
1974
Highly Cited
1974
A uniformly convex Banach space which contains no cp
There is a uniformly convex Banach space with unconditional basis which contains no subspace isomorphic to any lp (1 p ~). The… 
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