On the level sum of two convex functions on Banach spaces.
Traoré, S., Volle, M. (1996)
Journal of Convex Analysis
Similarity:
Displaying similar documents to “The cancellation law for inf-convolution of convex functions”
On the level sum of two convex functions on Banach spaces.
On Bárány's theorems of Carathéodory and Helly type
Ehrhard Behrends (2000)
Studia Mathematica
Similarity:
The paper begins with a self-contained and short development of Bárány’s theorems of Carathéodory and Helly type in finite-dimensional spaces together with some new variants. In the second half the possible generalizations of these results to arbitrary Banach spaces are investigated. The Carathéodory-Bárány theorem has a counterpart in arbitrary dimensions under suitable uniform compactness or uniform boundedness conditions. The proper generalization of the Helly-Bárány theorem reads...
A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces
Taras Banakh, Ivan Hetman (2012)
Studia Mathematica
Similarity:
A closed convex subset C of a Banach space X is called approximatively polyhedral if for each ε > 0 there is a polyhedral (= intersection of finitely many closed half-spaces) convex set P ⊂ X at Hausdorff distance < ε from C. We characterize approximatively polyhedral convex sets in Banach spaces and apply the characterization to show that a connected component of the space of closed convex subsets of X endowed with the Hausdorff metric is separable if and only if contains a...
On the p-drop theorem, 1 ≤ p ≤∞.
Abdelhakim Maaden (2002)
Extracta Mathematicae
Similarity:
Some remarks on subdifferentiability of convex functions.
Laghdir, Mohamed (2005)
Applied Mathematics E-Notes [electronic only]
Similarity:
A remark on certain close-to-convex functions
S. Owa, L. Liu, Wancang Ma (1989)
Matematički Vesnik
Similarity:
Note On H-Convex Functions
Rade Živaljević (1979)
Publications de l'Institut Mathématique
Similarity:
A Note on Sets of Constant Width
Siniša Vrećica (1981)
Publications de l'Institut Mathématique
Similarity:
On an Inequality of P.m. Vasić and R.r. Janić
Josip E. Pečarić (1980)
Publications de l'Institut Mathématique
Similarity:
On some generalization of α-convex functions
Zyskowski, Janusz (2015-11-13T12:11:38Z)
Acta Universitatis Lodziensis. Folia Mathematica
Similarity:
Quotients of Continuous Convex Functions on Nonreflexive Banach Spaces
P. Holický, O. F. K. Kalenda, L. Veselý, L. Zajíček (2007)
Bulletin of the Polish Academy of Sciences. Mathematics
Similarity:
On each nonreflexive Banach space X there exists a positive continuous convex function f such that 1/f is not a d.c. function (i.e., a difference of two continuous convex functions). This result together with known ones implies that X is reflexive if and only if each everywhere defined quotient of two continuous convex functions is a d.c. function. Our construction also gives a stronger version of Klee's result concerning renormings of nonreflexive spaces and non-norm-attaining functionals. ...
Moreau's decomposition theorem revisited
J. B. Hiriart-Urruty, Ph. Plazanet (1989)
Annales de l'I.H.P. Analyse non linéaire
Similarity:
Convex combination of analytic functions
Nak Eun Cho, Naveen Kumar Jain, V. Ravichandran (2017)
Open Mathematics
Similarity:
Radii of convexity, starlikeness, lemniscate starlikeness and close-to-convexity are determined for the convex combination of the identity map and a normalized convex function F given by f(z) = α z+(1−α)F(z).