An elementary proof of the one-dimensional Rademacher theorem
Mathematica Bohemica (1992)
- Volume: 117, Issue: 2, page 133-136
- ISSN: 0862-7959
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topZajíček, Luděk. "An elementary proof of the one-dimensional Rademacher theorem." Mathematica Bohemica 117.2 (1992): 133-136. <http://eudml.org/doc/29060>.
@article{Zajíček1992,
abstract = {An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.},
author = {Zajíček, Luděk},
journal = {Mathematica Bohemica},
keywords = {differentiability almost everywhere; Dini derivatives; Rademacher theorem; Lipschitz function; derivative; differentiability almost everywhere; Dini derivatives; Rademacher theorem; Lipschitz function},
language = {eng},
number = {2},
pages = {133-136},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {An elementary proof of the one-dimensional Rademacher theorem},
url = {http://eudml.org/doc/29060},
volume = {117},
year = {1992},
}
TY - JOUR
AU - Zajíček, Luděk
TI - An elementary proof of the one-dimensional Rademacher theorem
JO - Mathematica Bohemica
PY - 1992
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 117
IS - 2
SP - 133
EP - 136
AB - An elementary short proof of the one-dimensional Rademacher theorem on differentiability of Lipschitz functions is given.
LA - eng
KW - differentiability almost everywhere; Dini derivatives; Rademacher theorem; Lipschitz function; derivative; differentiability almost everywhere; Dini derivatives; Rademacher theorem; Lipschitz function
UR - http://eudml.org/doc/29060
ER -
References
top- V. Jarník, Differential Calculus II, Prague, 1956. (In Czech.) (1956)
- A. Nekvinda L. Zajíček, A simple proof of the Rademacher theorem, Časopis pěst. mat. 113 (1988), 337-341. (1988) MR0981874
- H. Rademacher, Über partielle und totale Differenzierbarkeit I, Math. Ann. 89 (1919), 340-359. (1919) MR1511935
- S. Saks, Theory of the Integral, New York, 1937. (1937) Zbl0017.30004
- L. Zajíček, 10.1080/00029890.1979.11994796, Amer. Math. Monthly 86 (1979), 297-298. (1979) MR0525764DOI10.1080/00029890.1979.11994796
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