On Köpcke and Pompeiu functions
Časopis pro pěstování matematiky, Tome 103 (1978) no. 1, pp. 53-61

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

DOI MR   Zbl

DOI : 10.21136/CPM.1978.117970
Classification : 26A24
Blažek, Jaroslav; Borák, Emil; Malý, Jan. On Köpcke and Pompeiu functions. Časopis pro pěstování matematiky, Tome 103 (1978) no. 1, pp. 53-61. doi: 10.21136/CPM.1978.117970
@article{10_21136_CPM_1978_117970,
     author = {Bla\v{z}ek, Jaroslav and Bor\'ak, Emil and Mal\'y, Jan},
     title = {On {K\"opcke} and {Pompeiu} functions},
     journal = {\v{C}asopis pro p\v{e}stov\'an{\'\i} matematiky},
     pages = {53--61},
     year = {1978},
     volume = {103},
     number = {1},
     doi = {10.21136/CPM.1978.117970},
     mrnumber = {0486352},
     zbl = {0376.26006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CPM.1978.117970/}
}
TY  - JOUR
AU  - Blažek, Jaroslav
AU  - Borák, Emil
AU  - Malý, Jan
TI  - On Köpcke and Pompeiu functions
JO  - Časopis pro pěstování matematiky
PY  - 1978
SP  - 53
EP  - 61
VL  - 103
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CPM.1978.117970/
DO  - 10.21136/CPM.1978.117970
LA  - en
ID  - 10_21136_CPM_1978_117970
ER  - 
%0 Journal Article
%A Blažek, Jaroslav
%A Borák, Emil
%A Malý, Jan
%T On Köpcke and Pompeiu functions
%J Časopis pro pěstování matematiky
%D 1978
%P 53-61
%V 103
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/CPM.1978.117970/
%R 10.21136/CPM.1978.117970
%G en
%F 10_21136_CPM_1978_117970

[I] A. Denjoy: Sur leѕ fonсtionѕ derivéeѕ ѕommableѕ. Bull. Soс. Math. Franсe, 43 (1915), 161-248. | MR

[2] P. Franklin: Аnalytiс tranѕformationѕ of everywhere denѕе point ѕеtѕ. Tгanѕ. Аmer. Math. Soс. (1925)27, 91-100. | MR

[З] C. Goffman: Everywhere differentiable funсtionѕ and the denѕity topology. Proс. Аmeг. Math. Soс. 5I (1975), 250. | MR

[4] C. Goffman C. Neugebauer T. Nishiura: Denѕity topology and approximate сontinuity. Duke Math. J. 28 (1961), 497- 505. | MR

[5] Y. Katznelson K. Stromberg: Everywheгe differentiable, nowhere monotone funсtionѕ. Аmer. Math. Mсnthly 81 (1974), З49-З54. | MR

[6] J. Lukeš L. Zajiček: The inѕertiсn оf $G_\delta$ ѕetѕ and fine topologieѕ. Сomment. Math. Univ. Сarolinae 18, 1 (1977), 101-104. | MR

[7] S. Marcus: Ѕur leѕ dérivéeѕ dent leѕ zéroѕ forment un enѕemble frontière paгtout denѕe. Rend. Сirс. Mat. Palermo 2/12 (196З), 1 -36.

[8] G. Petruska M. Lackovich: Baire 1 funсtionѕ, appгoximately сontinuouѕ funсtionѕ and derivativeѕ. Асta Math. Асad. Ѕсi. Hungariсae, 25/1 - 2 (1974), 189-212. | MR

[9] D. Pompeiu: Ѕur leѕ fonсtionѕ dérivéeѕ. Math. Аnn. 63 (1906), З26-ЗЗ2.

[10] S. Saks: Theory of the Integrаl. New Yorк 1937.

[11] C. E. Weil: On nowhere monotone funсtionѕ. Proс. Аmer. Mаth. Ѕoс. 56 (1976), 388-389. | MR

[12] Z. Zahorski: Ѕur lа première dérivée. Trаnѕ. Аmer. Mаth. Ѕсс. 69 (1950), 1 - 54. | MR

[13] Z. Zalcwasser: Ѕur leѕ fonсtionѕ de Köpсkе. Práсе Mаt. Fiz. 35 (1927-28), 57-99.

Cité par Sources :