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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
Generalized minimizers of convex integral functionals and Pythagorean identities
Integral functionals based on convex normal integrands are minimized subject to finitely many moment constraints. The effective domain of the value function is described by a modification of the concept of conv...
BD - Teorie informace
- 2013 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Superdecomposition integrals
This study introduces and discusses a new class of integrals based on superdecompositions of integrated functions, including an analysis of their relationship to decomposition integrals, but they also have some sig...
BA - Obecná matematika
- 2015 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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
Convergence of generalized entropy minimizers in sequences of convex problems
Integral functionals based on convex normal integrands are minimized over convex constraint sets. Generalized minimizers exist under a boundedness condition. Sequences of the minimization problems are studied when ...
BA - Obecná matematika
- 2016 •
- D •
- Link
Rok uplatnění
D - Stať ve sborníku
Výsledek na webu
Analytical inequalities in fractional calculus
weighted Hardy type inequalities for convex functions and refinements of weighted Hardy, fractional integral operator which contains generalized Mittag-Leffler functions in the kernel, generalized fractional i...
Pure mathematics
- 2020 •
- B
Rok uplatnění
B - Odborná kniha
Generalized minimizers of convex integral functionals, Bregman distance, Pythagorean identities
Integral functionals based on convex normal integrands are minimized subject in the framework of convex duality. The effective domain of the value function is described by a conic core, a modification of t...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Polyconvexity for functions of a system of closed differential forms
This paper deals with the weakened convexity properties, mult. ext. quasiconvexity, mult. ext. one convexity, and mult. ext. polyconvexity, for integral functionals of the form I(omega1,...,omegas)=...(omega1,...,o...
Applied mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
On linearity of pan-integral and pan-integrable functions space
nonnegative pan-integrable functions form a convex cone and the restriction of the pan-integral to the convex cone is a positive homogeneous linear functional. We extend the pan-integral...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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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