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Affine trajectories in a field of strictly convex functions
The paper presents one important and interesting property of strictly convex functions. On the base of previously proved properties of these functions, we can generalize some global-geometric conclusions, without t...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Affine Trajectory in the Fild of Strictly Convex Functions
In the paper, the formula for calculation of volumes of bounded closed solid in En is given, if we know the parametric descriptions of the surface areas of these solids. These areas are the smooth areas of the corresponding dimension. The article als...
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Structure of the Set of Norm-attaining Functionals on Strictly Convex Spaces
Let X be a separable non-reflexive Banach space. We show that there is no Borel class which contains the set of norm-attaining functionals for every strictly convex renorming of X....
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Descriptive properties of vector-valued affine functions
We study descriptive properties of strongly affine vector-valued functions on compact convex sets.
Pure mathematics
- 2019 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Strictly convex renormings
A normed space X is said to be strictly convex if x = y whenever //(x+y)/2 admit an equivalent strictly convex norm. We present a characterization in linear topological terms of the normed spaces which are stri...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Approximation of convex functions in Asplund generated spaces
of continuous convex functions which are locally affine on dense open sets. The result is proved first for sublinear functions and then extended to convex functions.An Asplund generated space is ...
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A strictly convex Sobolev function with null Hessian minors
Given 1 LESS-THAN OR EQUAL TO p < k LESS-THAN OR EQUAL TO n, we construct a strictly convex function f ELEMENT OF W^{2,p}((0,1)^n) with α-Hölder continuous TO k, and rank NABLA^2 g < k a.e., then g cannot be strictly
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
On minimization of multivariate entropy functionals
The problem of minimizing convex integral functionals subject to moment-like constraints is treated in a general setting when the underlying convex function may be multivariate, perhaps not strictly co...
BD - Teorie informace
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
On strict monotonicity of the price elasticity
In the paper sufficient conditions are examined for the price elasticity of demand and supply to be strictly monotonic in terms of concavity amd convexity of the carrier function......
AH - Ekonomie
- 2005 •
- D
Rok uplatnění
D - Stať ve sborníku
The Dirichlet problem on compact convex sets
Let X be a compact convex set with the set ext X of extreme points being Lindelof and f: ext X -> F be a bounded Baire mapping with values in a Frechet space F. We present a necessary and sufficient condition for f to be extended to a str...
Pure mathematics
- 2021 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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