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On Semiconcavity via the Second Difference
Let 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 general modulus) of f, if we,infinity) -> [0; infinity) is a nondecreasing ...
Pure mathematics
- 2018 •
- Jimp
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Functions on a Convex Set which are both omega-Semiconvex and omega-Semiconcave
Let G subset of R-n be an open convex set which is either bounded or contains a translation of a convex cone with nonempty interior. It is known that, for every modulus omega, every function on G which is both semiconvex and sem...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Generalized versions of Ilmanen lemma: Insertion of C-(1,omega) or C-loc(1,omega) functions
nontrivial modulus omega. This generalization (where a C-loc(1,omega) function and semiconvex with modulus omega, f(2) : X -> R is continuous and semiconcave with modulus omega and f(1) <= ...
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)
On sets in Rd with DC distance function
of a general DC function gremains open.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 FSUBS...
Pure mathematics
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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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)
Differences of two semiconvex functions on the real line
We give a complete characterization of real functions on the real line which can be represented as the difference of two semiconvex functions with a general modulus (or of two strongly paraconvex functions...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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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
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Compact Embeddings of Bessel-Potential-Type Spaces into Generalized Hoelder Spaces Involving k-Modulus of Smoothness
We present conditions which are necessary and sufficient for compact embeddings of Bessel potential spaces, modelled upon a rearrangement- -invariant Banach function spaces, into generalized Hoelder spaces involving k-modulus
BA - Obecná matematika
- 2011 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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