On the differentiation of convex functions in finite and infinite dimensional spaces
Czechoslovak Mathematical Journal (1979)
- Volume: 29, Issue: 3, page 340-348
- ISSN: 0011-4642
Access Full Article
top
How to cite
topZajíček, Luděk. "On the differentiation of convex functions in finite and infinite dimensional spaces." Czechoslovak Mathematical Journal 29.3 (1979): 340-348. <http://eudml.org/doc/13140>.
@article{Zajíček1979,
author = {Zajíček, Luděk},
journal = {Czechoslovak Mathematical Journal},
keywords = {Gateaux differentiation; singular points of convex body; (c-c)- hypersurface; Lipschitz convex functions; singularities of convex functions; singular boundary points},
language = {eng},
number = {3},
pages = {340-348},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the differentiation of convex functions in finite and infinite dimensional spaces},
url = {http://eudml.org/doc/13140},
volume = {29},
year = {1979},
}
TY - JOUR
AU - Zajíček, Luděk
TI - On the differentiation of convex functions in finite and infinite dimensional spaces
JO - Czechoslovak Mathematical Journal
PY - 1979
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 29
IS - 3
SP - 340
EP - 348
LA - eng
KW - Gateaux differentiation; singular points of convex body; (c-c)- hypersurface; Lipschitz convex functions; singularities of convex functions; singular boundary points
UR - http://eudml.org/doc/13140
ER -
References
top- R. D. Anderson, V. L. Klee, Jr., 10.1215/S0012-7094-52-01935-2, Duke Math. J. 19 (1952), 349-357. (1952) Zbl0047.15702MR0047346DOI10.1215/S0012-7094-52-01935-2
- N. Aronszajn, 10.4064/sm-57-2-147-190, Studia Math. 57 (1976), 147-190. (1976) Zbl0342.46034MR0425608DOI10.4064/sm-57-2-147-190
- A. S. Besicovitch, On singular points of convex surfaces, Convexity, Proceddings of Symposia in pure mathematics. Vol. VII, Providence, Rhode Island 1963. (1963) Zbl0138.43303MR0152942
- J. P. R. Christensen, Topology and Borel structure, Math. Studies 10, New York, 1974. (1974) Zbl0273.28001MR0348724
- G. Durand, Sur une généralisation des surfaces convexes, J. Math. Pures Appl. (9), vol. 10 (1931), 335-414. (1931) Zbl0003.22201
- H. Federer, Geometrie measure theory, New York 1969. (1969) MR0257325
- P. Mankiewicz, 10.4064/sm-52-2-109-142, Studia Math. 52 (1974), 109-142. (1974) Zbl0328.46005MR0402448DOI10.4064/sm-52-2-109-142
- K. Reidemeister, 10.1007/BF01464232, Math. Ann.. 83 (1921), 116-118. (1921) MR1512003DOI10.1007/BF01464232
- А. W. Roberts, D. E. Varberg, Convex functions, New York and London 1973. (1973) Zbl0271.26009MR0442824
- F. Mignot, 10.1016/0022-1236(76)90017-3, J. Functional Analysis 22 (1976), 130-185. (1976) Zbl0364.49003MR0423155DOI10.1016/0022-1236(76)90017-3
Citations in EuDML Documents
top- Eva Kopecká, Jan Malý, Remarks on delta-convex functions
- David Pavlica, On the points of non-differentiability of convex functions
- Vlastimil Klíma, Ivan Netuka, Smoothness of a typical convex function
- Taoufiq Abdellaoui, Henri Heinich, Caractérisation d'une solution optimale au problème de Monge-Kantorovitch
- Libor Veselý, On the multiplicity points of monotone operators on separable Banach spaces
- Luděk Zajíček, On the points of multiplicity of monotone operators
- Nacereddine Belili, Henri Heinich, Mass transport problem and derivation
- Andrea Colesanti, Convessità in dimensione finita
- Piermarco Cannarsa, Funzioni semiconcave, singolarità e pile di sabbia
- Luděk Zajíček, Smallness of sets of nondifferentiability of convex functions in non-separable Banach spaces
NotesEmbed ?
topYou must be logged in to post comments.
To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.