Previous |  Up |  Next

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
[2] Z. Grande: Sur la quasi-continuité et la quasi-continuité approximative. Fund. Math. 129 (1988), 167-172. DOI 10.4064/fm-129-3-167-172 | MR 0962538 | Zbl 0657.26003
[3] Z. Grande T. Natkaniec: Lattices generated by J-quasi-continuous functions. Bull. Polish Acad. Sci. Math. 34 (1986), 525-530. MR 0884198
[4] S. Kempisty: Sur les fonctions quasicontinues. Fund. Math. 19 (1932), 184-197. DOI 10.4064/fm-19-1-184-197 | Zbl 0005.19802
[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
[7] A. Maliszewski: On theorems of Pu & Pu and Grande. Math. Bohem. 121 (1996), 83-87. MR 1388179 | Zbl 0863.26005
[8] A. Maliszewski: On the averages of Darboux functions. Trans. Amer. Math. Soc. 350 (1998), 2833-2846. DOI 10.1090/S0002-9947-98-02267-3 | MR 1617344 | Zbl 0908.26005
[9] T. Natkaniec: On quasi-continuous functions having Darboux property. Math. Pann. 3 (1992), 81-96. MR 1240880 | Zbl 0767.26005
[10] H. P. Thielman: Types of functions. Amer. Math. Monthly 60 (1953), 156-161. DOI 10.1080/00029890.1953.11988260 | MR 0052495 | Zbl 0051.13801
Partner of
EuDML logo