| Title:
|
Averages of quasi-continuous functions (English) |
| Author:
|
Maliszewski, Aleksander |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
124 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
29-34 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions. (English) |
| Keyword:
|
cliquishness |
| Keyword:
|
quasi-continuity |
| Keyword:
|
Darboux property |
| Keyword:
|
comparable functions |
| Keyword:
|
average of functions |
| MSC:
|
26A15 |
| MSC:
|
54C08 |
| idZBL:
|
Zbl 0936.26001 |
| idMR:
|
MR1687429 |
| DOI:
|
10.21136/MB.1999.125978 |
| . |
| Date available:
|
2009-09-24T21:34:42Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125978 |
| . |
| Reference:
|
[1] A. M. Bruckner J. G. Ceder T. L. Pearson: On Darboux functions.Rev. Roumaine Math. Pures Appl. 19 (1974), 977-988. MR 0352359 |
| Reference:
|
[2] Z. Grande: Sur la quasi-continuité et la quasi-continuité approximative.Fund. Math. 129 (1988), 167-172. Zbl 0657.26003, MR 0962538, 10.4064/fm-129-3-167-172 |
| Reference:
|
[3] Z. Grande T. Natkaniec: Lattices generated by J-quasi-continuous functions.Bull. Polish Acad. Sci. Math. 34 (1986), 525-530. MR 0884198 |
| Reference:
|
[4] S. Kempisty: Sur les fonctions quasicontinues.Fund. Math. 19 (1932), 184-197. Zbl 0005.19802, 10.4064/fm-19-1-184-197 |
| Reference:
|
[5] A. Maliszewski: Sums of bounded Darboux functions.Real Anal. Exchange 20 (1994-95), 673-680. MR 1348090 |
| Reference:
|
[6] A. Maliszewski: On the limits of strong Świątkowski functions.Zeszyty Nauk. Politech. Lódz. Mat. 27 (1995), 87-93. MR 1357159 |
| Reference:
|
[7] A. Maliszewski: On theorems of Pu & Pu and Grande.Math. Bohem. 121 (1996), 83-87. Zbl 0863.26005, MR 1388179 |
| Reference:
|
[8] A. Maliszewski: On the averages of Darboux functions.Trans. Amer. Math. Soc. 350 (1998), 2833-2846. Zbl 0908.26005, MR 1617344, 10.1090/S0002-9947-98-02267-3 |
| Reference:
|
[9] T. Natkaniec: On quasi-continuous functions having Darboux property.Math. Pann. 3 (1992), 81-96. Zbl 0767.26005, MR 1240880 |
| Reference:
|
[10] H. P. Thielman: Types of functions.Amer. Math. Monthly 60 (1953), 156-161. Zbl 0051.13801, MR 0052495, 10.1080/00029890.1953.11988260 |
| . |
