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Uniformly convex space

Known as: Uniform convexity, Uniformly convex Banach space 
In mathematics, uniformly convex spaces (or uniformly rotund spaces) are common examples of reflexive Banach spaces. The concept of uniform convexity… 
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Related topics

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Broader (1)

Convex analysis
Convex functionModulus and characteristic of convexityStrictly convex spaceUniformly smooth space

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
Certain subclasses of uniformly convex functions and corresponding class of starlike functions
In this paper, we defined a new subclass of uniformly convex functions and corresponding subclass of starlike functions with… 
2008
2008
On fixed points and uniformly convex spaces
The purpose of this note is to present two elementary, but useful, facts concerning actions on uniformly convex spaces. We… 
2001
2001
Subclasses of K-uniformly Convex and Starlike Functions Defined by Generalized Derivative, II
2000
2000
PROJECTIVE CONVEXITY IN ℙ3 IMPLIES GRASSMANN CONVEXITY
In this note we introduce the notion of Grassmann convexity analogous to the well-known notion of convexity for curves in real… 
1999
1999
Sufficiency for Gaussian hypergeometric functions to be uniformly convex
Let F(a,b;c;z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk 𝒰. Let… 
1998
1998
Simply Regulated Functions and Semivariation in Uniformly Convex Spaces
In the last two decades the Riemann generalized integral, having values in Banach spaces, has been increasingly studied. The… 
1986
1986
Uniform convexity properties of norms on a super-reflexive Banach space
We study uniform convexity and smoothness properties satisfied by all the equivalent norms of a super-reflexive Banach space. We… 
1984
1984
Best monotone approximation in ₁[0,1]
Si f est une fonction bornee mesurable de Lebesque sur [0,1] et 1<p<∞, soit f p la meilleure approximation Lp de f par des… 
1979
1979
Martingale representation in uniformly convex spaces
In this paper we define the concept of a martingale in a uniformly convex Banach space and show that each bounded martingale is… 
1978
1978
On the convergence of some iteration processes in uniformly convex Banach spaces
For the approximation of fixed points of a nonexpansive operator T it a uniformly convex Banach space E the convergence of the… 
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