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Functions on a Convex Set which are both omega-Semiconvex and omega-Semiconcave
omega, every function on G which is both semiconvex and semiconcave with modulus omega is (globally) C-1,C-omega-smooth. We show that this result is optimal Taylor theorem and (ii) the problem whether f i...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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On Semiconcavity via the Second Difference
;=omega (parallel to h parallel to) implies that f is a C-1 function (and f &aposLet f be a continuous real function on a convex subset of a Banach space. We study what can be said about the semiconcavity (with a g...
Pure mathematics
- 2018 •
- Jimp
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Jimp - Článek v periodiku v databázi Web of Science
Generalized versions of Ilmanen lemma: Insertion of C-(1,omega) or C-loc(1,omega) functions
and semiconvex with modulus omega, f(2) : X -> R is continuous and semiconcave with modulus omega and f(1) <= f(2), then there exists f is an element of C-(1,omega)(X lemma (which deals with the case ome...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A C1 function which is nowhere strongly paraconvex and nowhere semiconcave
In each infinite-dimensional Banach space with Fréchet smooth norm there exists a C1 function which is nowhere strongly paraconvex and nowhere semiconcave......
BA - Obecná matematika
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Differentiability of approximately convex, semiconcave and strongly paraconvex functions
New results on differentiability of approximately convex functions on Banach spaces are proved.
BA - Obecná matematika
- 2008 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A note on propagation of singularities of semiconcave functions of two variables
P. Albano and P. Cannarsa proved in 1999 that, under some applicable conditions, singularities of semiconcave functions in Euclidean n-dimensional space propagate along Lipschitz arcs. Further regularity properties of these arcs wer...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On sets in Rd with DC distance function
We study closed sets F SUBSET OF Rd whose distance function dF:=dist(., F)is DC (i.e., is the difference of two convex functions on Rd). Our main result asserts that if FSUBSET OF R2 is a graph of a DC function g:R -> R,...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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The functions of omega-3 and omega-6 at polynusaturatted fatty acids on psychic disorders
Polyunsaturated fatty acids, psychic disorders...
FL - Psychiatrie, sexuologie
- 2007 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On the structure of sets with positive reach
semiconcave hypersurfaces.
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
Integral functionals that are continuous with respect to the weak topology on $W^{1,p}_{0}(Omega)$
Let $Omega subset er^N$ be a bounded open set and let $gfcolon Omegatimesertoer$ be a Carathéodory function that satisfies standard growth conditions. Then the functional $Phi(u)=int_{Omega} gbigl(x,u(x)bigr) d x$ ...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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