Geodesic
Averages of quasi-continuous functions
Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 29-34

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

MR Zbl
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.
The goal of this paper is to characterize the family of averages of comparable (Darboux) quasi-continuous functions.
DOI : 10.21136/MB.1999.125978
Classification : 26A15, 54C08
Keywords: cliquishness; quasi-continuity; Darboux property; comparable functions; average of functions 
Maliszewski, Aleksander. Averages of quasi-continuous functions. Mathematica Bohemica, Tome 124 (1999) no. 1, pp. 29-34. doi: 10.21136/MB.1999.125978
@article{10_21136_MB_1999_125978,
     author = {Maliszewski, Aleksander},
     title = {Averages of quasi-continuous functions},
     journal = {Mathematica Bohemica},
     pages = {29--34},
     year = {1999},
     volume = {124},
     number = {1},
     doi = {10.21136/MB.1999.125978},
     mrnumber = {1687429},
     zbl = {0936.26001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125978/}
}
TY  - JOUR
AU  - Maliszewski, Aleksander
TI  - Averages of quasi-continuous functions
JO  - Mathematica Bohemica
PY  - 1999
SP  - 29
EP  - 34
VL  - 124
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125978/
DO  - 10.21136/MB.1999.125978
LA  - en
ID  - 10_21136_MB_1999_125978
ER  - 
%0 Journal Article
%A Maliszewski, Aleksander
%T Averages of quasi-continuous functions
%J Mathematica Bohemica
%D 1999
%P 29-34
%V 124
%N 1
%U http://geodesic.mathdoc.fr/articles/10.21136/MB.1999.125978/
%R 10.21136/MB.1999.125978
%G en
%F 10_21136_MB_1999_125978

[1] A. M. Bruckner J. G. Ceder T. L. Pearson: On Darboux functions. Rev. Roumaine Math. Pures Appl. 19 (1974), 977-988. | MR

[2] Z. Grande: Sur la quasi-continuité et la quasi-continuité approximative. Fund. Math. 129 (1988), 167-172. | DOI | MR | Zbl

[3] Z. Grande T. Natkaniec: Lattices generated by J-quasi-continuous functions. Bull. Polish Acad. Sci. Math. 34 (1986), 525-530. | MR

[4] S. Kempisty: Sur les fonctions quasicontinues. Fund. Math. 19 (1932), 184-197. | DOI | Zbl

[5] A. Maliszewski: Sums of bounded Darboux functions. Real Anal. Exchange 20 (1994-95), 673-680. | MR

[6] A. Maliszewski: On the limits of strong Świątkowski functions. Zeszyty Nauk. Politech. Lódz. Mat. 27 (1995), 87-93. | MR

[7] A. Maliszewski: On theorems of Pu & Pu and Grande. Math. Bohem. 121 (1996), 83-87. | MR | Zbl

[8] A. Maliszewski: On the averages of Darboux functions. Trans. Amer. Math. Soc. 350 (1998), 2833-2846. | DOI | MR | Zbl

[9] T. Natkaniec: On quasi-continuous functions having Darboux property. Math. Pann. 3 (1992), 81-96. | MR | Zbl

[10] H. P. Thielman: Types of functions. Amer. Math. Monthly 60 (1953), 156-161. | DOI | MR | Zbl

Cité par Sources :