Smoothness of a typical convex function

Vlastimil Klíma; Ivan Netuka

Czechoslovak Mathematical Journal (1981)

  • Volume: 31, Issue: 4, page 569-572
  • ISSN: 0011-4642

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Klíma, Vlastimil, and Netuka, Ivan. "Smoothness of a typical convex function." Czechoslovak Mathematical Journal 31.4 (1981): 569-572. <http://eudml.org/doc/13287>.

@article{Klíma1981,
author = {Klíma, Vlastimil, Netuka, Ivan},
journal = {Czechoslovak Mathematical Journal},
keywords = {typical convex functions; differentiability; Baire's category},
language = {eng},
number = {4},
pages = {569-572},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Smoothness of a typical convex function},
url = {http://eudml.org/doc/13287},
volume = {31},
year = {1981},
}

TY - JOUR
AU - Klíma, Vlastimil
AU - Netuka, Ivan
TI - Smoothness of a typical convex function
JO - Czechoslovak Mathematical Journal
PY - 1981
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 31
IS - 4
SP - 569
EP - 572
LA - eng
KW - typical convex functions; differentiability; Baire's category
UR - http://eudml.org/doc/13287
ER -

References

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  1. W. Fleming, Functions of several variables, Springer-Verlag, New York, 1977. (1977) Zbl0348.26002MR0422527
  2. P. M. Gruber, 10.1007/BF01391471, Math. Ann. 229 (1977), 259-266. (1977) Zbl0342.52009MR0442825DOI10.1007/BF01391471
  3. A. W. Roberts D. E. Varberg, Convex functions, Academic Press, New York, 1973. (1973) MR0442824
  4. L. Zajiček, On the differentiation of convex functions in finite and infinite dimensional spaces, Czechoslovak Math. J. 29 (104) (1979), 340-348. (1979) MR0536060

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