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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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Papers overview

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2021
2021
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
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
We prove the Fundamental Gap Conjecture, which states that the difference between the first two Dirichlet eigenvalues (the spec… 
2010
2010
We introduce a new hybrid iterative scheme for finding a common element in the solutions set of a system of equilibrium problems… 
2006
2006
We consider convex sets whose modulus of convexity is uniformly quadratic. First, we observe several interesting relations… 
Highly Cited
2003
Highly Cited
2003
Hyperbolic convex sets and quasisymmetric functions Every bounded convex open set Ω of Rm is endowed with its Hilbert metric d… 
2002
2002
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
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
  • 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
There is a uniformly convex Banach space with unconditional basis which contains no subspace isomorphic to any lp (1 p ~). The…