References
A. M. Bruckner, An affirmative answer to a problem of Zahorski and some consequences,Mich. Math. J.,13 (1966), 15–26.
H. T. Croft, A note on a Darboux continuous function,J. London Math. Soc.,38 (1963), 9–10.
C. Goffman andC. Neugebauer, On approximate derivatives,Proc. Amer. Math. Soc.,11 (1960), 962–966.
O. Hájek, Note sur la measurabilité B de la dérivée supérieure,Fund. Math.,44 (1957), 238–240.
R. Jeffery,The theory of functions of a real variable. Math. Expositions, No. 6, Univ. of Toronto Press, 1962.
A. Khintchine, Recherches sur la structure des fonctions measurables,Fund. Math.,9 (1927), 212–279.
C. Kuratowski,Topology. Vol. 2. Academic Press. Translated from French by J. Jaworowski.
J. H. Leonard, Some conditions implying the monotonicity of a real function,Rev. Roumaine Math. Pures Appl.,17 (1972), pp. 757–780.
I. Natanson,Theory of functions of a real variable. Vol. 1, Ungar (N. Y., 1961).
C. Neugebauer, Darboux functions of Baire class 1 and derivatives,Proc. Amer. Math. Soc.,13 (1962), 838–843.
R. J. O'Malley,M 3 functions,Indiana Univ. Math. J.,24 (1974), 585–591.
S. Saks,Theory of the integral. Dover (N. Y., 1964).
L. E. Snyder, Continuous Stolz extensions and boundary functions,Transactions,119 (1965), 417–427.
T. Światkowski, On the conditions of monotonicity of functions,Fund. Math.,59 (1966), 189–201.
Z. Zahorski, Sur la première dérivée,Trans. Amer. Math. Soc.,69 (1950), 1–54.
Author information
Authors and Affiliations
Additional information
This paper was developed under the sponsorship of a research grant from the University of Wisconsin, Milwaukee.
Rights and permissions
About this article
Cite this article
O'Malley, R.J. Selective derivates. Acta Mathematica Academiae Scientiarum Hungaricae 29, 77–97 (1977). https://doi.org/10.1007/BF01896470
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01896470