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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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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.
2017
2017
Uniform convexity in ℓ p (
In this work, we investigate the variable exponent sequence space `p(·). In particular, we prove a geometric property similar to… 
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… 
2009
2009
Generalized Asymptotic Pointwise Contractions and Nonexpansive Mappings Involving Orbits
We give fixed point results for classes of mappings that generalize pointwise contractions, asymptotic contractions, asymptotic… 
2007
2007
High order smoothness and asymptotic structure in banach spaces
In this paper we study the connections between moduli of asymptotic convexity and smoothness of a Banach space, and the existence… 
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… 
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… 
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