Article
Keywords:
cliquishness; quasi-continuity; Darboux property; comparable functions; average of functions
Summary:
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.
References:
[1] A. M. Bruckner J. G. Ceder T. L. Pearson:
On Darboux functions. Rev. Roumaine Math. Pures Appl. 19 (1974), 977-988.
MR 0352359
[3] Z. Grande T. Natkaniec:
Lattices generated by J-quasi-continuous functions. Bull. Polish Acad. Sci. Math. 34 (1986), 525-530.
MR 0884198
[5] A. Maliszewski:
Sums of bounded Darboux functions. Real Anal. Exchange 20 (1994-95), 673-680.
MR 1348090
[6] A. Maliszewski:
On the limits of strong Świątkowski functions. Zeszyty Nauk. Politech. Lódz. Mat. 27 (1995), 87-93.
MR 1357159
[9] T. Natkaniec:
On quasi-continuous functions having Darboux property. Math. Pann. 3 (1992), 81-96.
MR 1240880 |
Zbl 0767.26005