scholarly journals Geodesic stability, the space of rays and uniform convexity in Mabuchi geometry

2020 ◽  
Vol 24 (4) ◽  
pp. 1907-1967
Author(s):  
Tamás Darvas ◽  
Chinh H Lu
Keyword(s):  
Uniform Convexity

On Random Uniform Convexity

2012 ◽  
Vol 14 (1) ◽  
pp. 23
Author(s):  
Xiaolin ZENG
Keyword(s):  
Uniform Convexity

scholarly journals Characterizations of uniform convexity for differentiable functions

2019 ◽  
Vol 13 (3) ◽  
pp. 721-732
Author(s):  
Osama Alabdali ◽  
Allal Guessab ◽  
Gerhard Schmeisser
Keyword(s):  
Convex Functions ◽  
Hessian Matrix ◽  
Uniform Convexity ◽  
Differentiable Functions

We consider convex functions in d real variables. For applications, for example in optimization, various strengthened forms of convexity have been introduced. Among them, uniform convexity is one of the most general, defined by involving a so-called modulus ?. Inspired by three classical characterizations of ordinary convexity, we aim at characterizations of uniform convexity by conditions in terms of the gradient or the Hessian matrix of the considered function for certain classes of moduli ?.

scholarly journals Bellman function approach to the sharp constants in uniform convexity

2018 ◽  
Vol 11 (1) ◽  
pp. 89-93
Author(s):  
Paata Ivanisvili
Keyword(s):  
Uniform Convexity ◽  
Function Approach ◽  
Function Technique ◽  
Bellman Function ◽  
Sharp Constants

AbstractWe illustrate a Bellman function technique in finding the modulus of uniform convexity of {L^{p}} spaces.

Optimal Two—Uniform Convexity and Fermion Hypercontractivity

1993 ◽  
pp. 93-111
Author(s):  
Eric A. Carlen ◽  
Elliott H. Lieb
Keyword(s):  
Uniform Convexity

Measures of noncompactness and related properties

2018 ◽  
pp. 128-146
Author(s):  
Kazimierz Goebel ◽  
Stanisław Prus
Keyword(s):  
Uniform Convexity ◽  
Measures Of Noncompactness

Attempts to classify properties of the ball B, or the space X, utilizing the notion of measures of noncompactness are presented. They are connected with the Kadec–Klee property. Measures of noncompactness are used to generalize the notion of uniform convexity and smoothness.

Radii of Uniform Convexity of Lommel and Struve Functions

2020 ◽  
Author(s):  
Erhan Deniz ◽  
Sercan Kazımoğlu ◽  
Murat Çağlar
Keyword(s):  
Uniform Convexity ◽  
Struve Functions
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